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Finding the Fourth Proportional to 510.84, 766.35 and 294.30

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Solution

The fourth proportional to 510.84, 766.35 and 294.30 is: 441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 766.35 = 294.30 : x
  2. Step 2: Convert to fraction form
    510.84/766.35 = 294.30/x
  3. Step 3: Cross multiply
    510.84x = 766.35 × 294.30
  4. Step 4: Simplify right side
    510.84x = 225,536.81
  5. Step 5: Solve for x
    x = 225,536.81/510.84
  6. Step 6: Final answer
    x = 441.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.