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Finding the Fourth Proportional to 372.26, 558.38 and 286.13

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Solution

The fourth proportional to 372.26, 558.38 and 286.13 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.26 : 558.38 = 286.13 : x
  2. Step 2: Convert to fraction form
    372.26/558.38 = 286.13/x
  3. Step 3: Cross multiply
    372.26x = 558.38 × 286.13
  4. Step 4: Simplify right side
    372.26x = 159,771.38
  5. Step 5: Solve for x
    x = 159,771.38/372.26
  6. Step 6: Final answer
    x = 429.19

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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.