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Finding the Fourth Proportional to 510.48, 763.56 and 402.48

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Solution

The fourth proportional to 510.48, 763.56 and 402.48 is: 602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 763.56 = 402.48 : x
  2. Step 2: Convert to fraction form
    510.48/763.56 = 402.48/x
  3. Step 3: Cross multiply
    510.48x = 763.56 × 402.48
  4. Step 4: Simplify right side
    510.48x = 307,317.63
  5. Step 5: Solve for x
    x = 307,317.63/510.48
  6. Step 6: Final answer
    x = 602.02

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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.