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Finding the Fourth Proportional to 938.08, 1,406.04 and 424

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Solution

The fourth proportional to 938.08, 1,406.04 and 424 is: 635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.08 : 1,406.04 = 424 : x
  2. Step 2: Convert to fraction form
    938.08/1,406.04 = 424/x
  3. Step 3: Cross multiply
    938.08x = 1,406.04 × 424
  4. Step 4: Simplify right side
    938.08x = 596,160.96
  5. Step 5: Solve for x
    x = 596,160.96/938.08
  6. Step 6: Final answer
    x = 635.51

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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.