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Finding the Fourth Proportional to 565.57, 847.65 and 257.34

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Solution

The fourth proportional to 565.57, 847.65 and 257.34 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 847.65 = 257.34 : x
  2. Step 2: Convert to fraction form
    565.57/847.65 = 257.34/x
  3. Step 3: Cross multiply
    565.57x = 847.65 × 257.34
  4. Step 4: Simplify right side
    565.57x = 218,134.25
  5. Step 5: Solve for x
    x = 218,134.25/565.57
  6. Step 6: Final answer
    x = 385.69

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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.