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Finding the Fourth Proportional to 552.68, 762.17 and 421.46

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Solution

The fourth proportional to 552.68, 762.17 and 421.46 is: 581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.68 : 762.17 = 421.46 : x
  2. Step 2: Convert to fraction form
    552.68/762.17 = 421.46/x
  3. Step 3: Cross multiply
    552.68x = 762.17 × 421.46
  4. Step 4: Simplify right side
    552.68x = 321,224.17
  5. Step 5: Solve for x
    x = 321,224.17/552.68
  6. Step 6: Final answer
    x = 581.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.