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Finding the Fourth Proportional to 424.92, 632.31 and 408.51

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Solution

The fourth proportional to 424.92, 632.31 and 408.51 is: 607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.92 : 632.31 = 408.51 : x
  2. Step 2: Convert to fraction form
    424.92/632.31 = 408.51/x
  3. Step 3: Cross multiply
    424.92x = 632.31 × 408.51
  4. Step 4: Simplify right side
    424.92x = 258,304.96
  5. Step 5: Solve for x
    x = 258,304.96/424.92
  6. Step 6: Final answer
    x = 607.89

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Why These Related Problems?

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