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Finding the Fourth Proportional to 947.57, 1,421.24 and 254.30

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Solution

The fourth proportional to 947.57, 1,421.24 and 254.30 is: 381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.57 : 1,421.24 = 254.30 : x
  2. Step 2: Convert to fraction form
    947.57/1,421.24 = 254.30/x
  3. Step 3: Cross multiply
    947.57x = 1,421.24 × 254.30
  4. Step 4: Simplify right side
    947.57x = 361,414.86
  5. Step 5: Solve for x
    x = 361,414.86/947.57
  6. Step 6: Final answer
    x = 381.41

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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.