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Finding the Fourth Proportional to 417.20, 575.56 and 269.88

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Solution

The fourth proportional to 417.20, 575.56 and 269.88 is: 372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 575.56 = 269.88 : x
  2. Step 2: Convert to fraction form
    417.20/575.56 = 269.88/x
  3. Step 3: Cross multiply
    417.20x = 575.56 × 269.88
  4. Step 4: Simplify right side
    417.20x = 155,332.13
  5. Step 5: Solve for x
    x = 155,332.13/417.20
  6. Step 6: Final answer
    x = 372.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.