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Finding the Fourth Proportional to 939.64, 1,408.88 and 392.20

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Solution

The fourth proportional to 939.64, 1,408.88 and 392.20 is: 588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.64 : 1,408.88 = 392.20 : x
  2. Step 2: Convert to fraction form
    939.64/1,408.88 = 392.20/x
  3. Step 3: Cross multiply
    939.64x = 1,408.88 × 392.20
  4. Step 4: Simplify right side
    939.64x = 552,562.74
  5. Step 5: Solve for x
    x = 552,562.74/939.64
  6. Step 6: Final answer
    x = 588.06

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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.