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Finding the Fourth Proportional to 575.26, 861.60 and 412.44

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Solution

The fourth proportional to 575.26, 861.60 and 412.44 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.26 : 861.60 = 412.44 : x
  2. Step 2: Convert to fraction form
    575.26/861.60 = 412.44/x
  3. Step 3: Cross multiply
    575.26x = 861.60 × 412.44
  4. Step 4: Simplify right side
    575.26x = 355,358.30
  5. Step 5: Solve for x
    x = 355,358.30/575.26
  6. Step 6: Final answer
    x = 617.74

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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.