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Finding the Fourth Proportional to 424.32, 632.10 and 397.76

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Solution

The fourth proportional to 424.32, 632.10 and 397.76 is: 592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.32 : 632.10 = 397.76 : x
  2. Step 2: Convert to fraction form
    424.32/632.10 = 397.76/x
  3. Step 3: Cross multiply
    424.32x = 632.10 × 397.76
  4. Step 4: Simplify right side
    424.32x = 251,424.10
  5. Step 5: Solve for x
    x = 251,424.10/424.32
  6. Step 6: Final answer
    x = 592.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.