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Finding the Fourth Proportional to 617.20, 924.92 and 251.76

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Solution

The fourth proportional to 617.20, 924.92 and 251.76 is: 377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 924.92 = 251.76 : x
  2. Step 2: Convert to fraction form
    617.20/924.92 = 251.76/x
  3. Step 3: Cross multiply
    617.20x = 924.92 × 251.76
  4. Step 4: Simplify right side
    617.20x = 232,857.86
  5. Step 5: Solve for x
    x = 232,857.86/617.20
  6. Step 6: Final answer
    x = 377.28

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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.