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Finding the Fourth Proportional to 510.57, 764.46 and 402.12

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Solution

The fourth proportional to 510.57, 764.46 and 402.12 is: 602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 764.46 = 402.12 : x
  2. Step 2: Convert to fraction form
    510.57/764.46 = 402.12/x
  3. Step 3: Cross multiply
    510.57x = 764.46 × 402.12
  4. Step 4: Simplify right side
    510.57x = 307,404.66
  5. Step 5: Solve for x
    x = 307,404.66/510.57
  6. Step 6: Final answer
    x = 602.08

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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.