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Finding the Fourth Proportional to 937.40, 1,406.10 and 279.28

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Solution

The fourth proportional to 937.40, 1,406.10 and 279.28 is: 418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.40 : 1,406.10 = 279.28 : x
  2. Step 2: Convert to fraction form
    937.40/1,406.10 = 279.28/x
  3. Step 3: Cross multiply
    937.40x = 1,406.10 × 279.28
  4. Step 4: Simplify right side
    937.40x = 392,695.61
  5. Step 5: Solve for x
    x = 392,695.61/937.40
  6. Step 6: Final answer
    x = 418.92

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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.