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Finding the Fourth Proportional to 417.28, 625.80 and 124.77

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Solution

The fourth proportional to 417.28, 625.80 and 124.77 is: 187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.28 : 625.80 = 124.77 : x
  2. Step 2: Convert to fraction form
    417.28/625.80 = 124.77/x
  3. Step 3: Cross multiply
    417.28x = 625.80 × 124.77
  4. Step 4: Simplify right side
    417.28x = 78,081.07
  5. Step 5: Solve for x
    x = 78,081.07/417.28
  6. Step 6: Final answer
    x = 187.12

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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.