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Finding the Fourth Proportional to 372.54, 557.84 and 311.52

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Solution

The fourth proportional to 372.54, 557.84 and 311.52 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.54 : 557.84 = 311.52 : x
  2. Step 2: Convert to fraction form
    372.54/557.84 = 311.52/x
  3. Step 3: Cross multiply
    372.54x = 557.84 × 311.52
  4. Step 4: Simplify right side
    372.54x = 173,778.32
  5. Step 5: Solve for x
    x = 173,778.32/372.54
  6. Step 6: Final answer
    x = 466.47

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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.