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Finding the Fourth Proportional to 602.52, 829.62 and 477.78

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Solution

The fourth proportional to 602.52, 829.62 and 477.78 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.52 : 829.62 = 477.78 : x
  2. Step 2: Convert to fraction form
    602.52/829.62 = 477.78/x
  3. Step 3: Cross multiply
    602.52x = 829.62 × 477.78
  4. Step 4: Simplify right side
    602.52x = 396,375.84
  5. Step 5: Solve for x
    x = 396,375.84/602.52
  6. Step 6: Final answer
    x = 657.86

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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.