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Finding the Fourth Proportional to 565.29, 847.96 and 240.44

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Solution

The fourth proportional to 565.29, 847.96 and 240.44 is: 360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 847.96 = 240.44 : x
  2. Step 2: Convert to fraction form
    565.29/847.96 = 240.44/x
  3. Step 3: Cross multiply
    565.29x = 847.96 × 240.44
  4. Step 4: Simplify right side
    565.29x = 203,878.66
  5. Step 5: Solve for x
    x = 203,878.66/565.29
  6. Step 6: Final answer
    x = 360.66

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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.