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Finding the Fourth Proportional to 510.50, 764.84 and 293.63

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Solution

The fourth proportional to 510.50, 764.84 and 293.63 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 764.84 = 293.63 : x
  2. Step 2: Convert to fraction form
    510.50/764.84 = 293.63/x
  3. Step 3: Cross multiply
    510.50x = 764.84 × 293.63
  4. Step 4: Simplify right side
    510.50x = 224,576.88
  5. Step 5: Solve for x
    x = 224,576.88/510.50
  6. Step 6: Final answer
    x = 439.91

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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.