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Finding the Fourth Proportional to 417.46, 575.90 and 260.04

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Solution

The fourth proportional to 417.46, 575.90 and 260.04 is: 358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.46 : 575.90 = 260.04 : x
  2. Step 2: Convert to fraction form
    417.46/575.90 = 260.04/x
  3. Step 3: Cross multiply
    417.46x = 575.90 × 260.04
  4. Step 4: Simplify right side
    417.46x = 149,757.04
  5. Step 5: Solve for x
    x = 149,757.04/417.46
  6. Step 6: Final answer
    x = 358.73

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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.