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Finding the Fourth Proportional to 565.18, 847.56 and 443.68

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Solution

The fourth proportional to 565.18, 847.56 and 443.68 is: 665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.18 : 847.56 = 443.68 : x
  2. Step 2: Convert to fraction form
    565.18/847.56 = 443.68/x
  3. Step 3: Cross multiply
    565.18x = 847.56 × 443.68
  4. Step 4: Simplify right side
    565.18x = 376,044.97
  5. Step 5: Solve for x
    x = 376,044.97/565.18
  6. Step 6: Final answer
    x = 665.36

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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.