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Finding the Fourth Proportional to 637.80, 954.24 and 476.20

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Solution

The fourth proportional to 637.80, 954.24 and 476.20 is: 712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.80 : 954.24 = 476.20 : x
  2. Step 2: Convert to fraction form
    637.80/954.24 = 476.20/x
  3. Step 3: Cross multiply
    637.80x = 954.24 × 476.20
  4. Step 4: Simplify right side
    637.80x = 454,409.09
  5. Step 5: Solve for x
    x = 454,409.09/637.80
  6. Step 6: Final answer
    x = 712.46

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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.