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Finding the Fourth Proportional to 552.74, 762.39 and 469.27

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Solution

The fourth proportional to 552.74, 762.39 and 469.27 is: 647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 762.39 = 469.27 : x
  2. Step 2: Convert to fraction form
    552.74/762.39 = 469.27/x
  3. Step 3: Cross multiply
    552.74x = 762.39 × 469.27
  4. Step 4: Simplify right side
    552.74x = 357,766.28
  5. Step 5: Solve for x
    x = 357,766.28/552.74
  6. Step 6: Final answer
    x = 647.26

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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.