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Finding the Fourth Proportional to 474.28, 712.38 and 457

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Solution

The fourth proportional to 474.28, 712.38 and 457 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.28 : 712.38 = 457 : x
  2. Step 2: Convert to fraction form
    474.28/712.38 = 457/x
  3. Step 3: Cross multiply
    474.28x = 712.38 × 457
  4. Step 4: Simplify right side
    474.28x = 325,557.66
  5. Step 5: Solve for x
    x = 325,557.66/474.28
  6. Step 6: Final answer
    x = 686.43

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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.