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Finding the Fourth Proportional to 563.18, 844.22 and 432.96

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Solution

The fourth proportional to 563.18, 844.22 and 432.96 is: 649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.18 : 844.22 = 432.96 : x
  2. Step 2: Convert to fraction form
    563.18/844.22 = 432.96/x
  3. Step 3: Cross multiply
    563.18x = 844.22 × 432.96
  4. Step 4: Simplify right side
    563.18x = 365,511.33
  5. Step 5: Solve for x
    x = 365,511.33/563.18
  6. Step 6: Final answer
    x = 649.02

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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.