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Finding the Fourth Proportional to 510.74, 764.64 and 462.07

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Solution

The fourth proportional to 510.74, 764.64 and 462.07 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 764.64 = 462.07 : x
  2. Step 2: Convert to fraction form
    510.74/764.64 = 462.07/x
  3. Step 3: Cross multiply
    510.74x = 764.64 × 462.07
  4. Step 4: Simplify right side
    510.74x = 353,318.16
  5. Step 5: Solve for x
    x = 353,318.16/510.74
  6. Step 6: Final answer
    x = 691.78

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Similar ratio
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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.