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Finding the Fourth Proportional to 565.98, 847.14 and 291.69

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Solution

The fourth proportional to 565.98, 847.14 and 291.69 is: 436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.98 : 847.14 = 291.69 : x
  2. Step 2: Convert to fraction form
    565.98/847.14 = 291.69/x
  3. Step 3: Cross multiply
    565.98x = 847.14 × 291.69
  4. Step 4: Simplify right side
    565.98x = 247,102.27
  5. Step 5: Solve for x
    x = 247,102.27/565.98
  6. Step 6: Final answer
    x = 436.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.