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Finding the Fourth Proportional to 565.18, 847.77 and 308.62

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Solution

The fourth proportional to 565.18, 847.77 and 308.62 is: 462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.18 : 847.77 = 308.62 : x
  2. Step 2: Convert to fraction form
    565.18/847.77 = 308.62/x
  3. Step 3: Cross multiply
    565.18x = 847.77 × 308.62
  4. Step 4: Simplify right side
    565.18x = 261,638.78
  5. Step 5: Solve for x
    x = 261,638.78/565.18
  6. Step 6: Final answer
    x = 462.93

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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.