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Finding the Fourth Proportional to 447.38, 617.57 and 292.58

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Solution

The fourth proportional to 447.38, 617.57 and 292.58 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.38 : 617.57 = 292.58 : x
  2. Step 2: Convert to fraction form
    447.38/617.57 = 292.58/x
  3. Step 3: Cross multiply
    447.38x = 617.57 × 292.58
  4. Step 4: Simplify right side
    447.38x = 180,688.63
  5. Step 5: Solve for x
    x = 180,688.63/447.38
  6. Step 6: Final answer
    x = 403.88

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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.