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Finding the Fourth Proportional to 510.04, 764.47 and 201.83

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Solution

The fourth proportional to 510.04, 764.47 and 201.83 is: 302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 764.47 = 201.83 : x
  2. Step 2: Convert to fraction form
    510.04/764.47 = 201.83/x
  3. Step 3: Cross multiply
    510.04x = 764.47 × 201.83
  4. Step 4: Simplify right side
    510.04x = 154,292.98
  5. Step 5: Solve for x
    x = 154,292.98/510.04
  6. Step 6: Final answer
    x = 302.51

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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.