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Finding the Fourth Proportional to 578.24, 865.61 and 372.96

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Solution

The fourth proportional to 578.24, 865.61 and 372.96 is: 558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.24 : 865.61 = 372.96 : x
  2. Step 2: Convert to fraction form
    578.24/865.61 = 372.96/x
  3. Step 3: Cross multiply
    578.24x = 865.61 × 372.96
  4. Step 4: Simplify right side
    578.24x = 322,837.91
  5. Step 5: Solve for x
    x = 322,837.91/578.24
  6. Step 6: Final answer
    x = 558.31

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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.