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Finding the Fourth Proportional to 337.57, 503.42 and 294.44

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Solution

The fourth proportional to 337.57, 503.42 and 294.44 is: 439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.57 : 503.42 = 294.44 : x
  2. Step 2: Convert to fraction form
    337.57/503.42 = 294.44/x
  3. Step 3: Cross multiply
    337.57x = 503.42 × 294.44
  4. Step 4: Simplify right side
    337.57x = 148,223.00
  5. Step 5: Solve for x
    x = 148,223.00/337.57
  6. Step 6: Final answer
    x = 439.09

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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.