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Finding the Fourth Proportional to 565.96, 847.32 and 371.18

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Solution

The fourth proportional to 565.96, 847.32 and 371.18 is: 555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.96 : 847.32 = 371.18 : x
  2. Step 2: Convert to fraction form
    565.96/847.32 = 371.18/x
  3. Step 3: Cross multiply
    565.96x = 847.32 × 371.18
  4. Step 4: Simplify right side
    565.96x = 314,508.24
  5. Step 5: Solve for x
    x = 314,508.24/565.96
  6. Step 6: Final answer
    x = 555.71

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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.