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Finding the Fourth Proportional to 417.05, 575.71 and 292.71

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Solution

The fourth proportional to 417.05, 575.71 and 292.71 is: 404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.05 : 575.71 = 292.71 : x
  2. Step 2: Convert to fraction form
    417.05/575.71 = 292.71/x
  3. Step 3: Cross multiply
    417.05x = 575.71 × 292.71
  4. Step 4: Simplify right side
    417.05x = 168,517.50
  5. Step 5: Solve for x
    x = 168,517.50/417.05
  6. Step 6: Final answer
    x = 404.07

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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.