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Finding the Fourth Proportional to 565.87, 848.90 and 257.71

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Solution

The fourth proportional to 565.87, 848.90 and 257.71 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.87 : 848.90 = 257.71 : x
  2. Step 2: Convert to fraction form
    565.87/848.90 = 257.71/x
  3. Step 3: Cross multiply
    565.87x = 848.90 × 257.71
  4. Step 4: Simplify right side
    565.87x = 218,770.02
  5. Step 5: Solve for x
    x = 218,770.02/565.87
  6. Step 6: Final answer
    x = 386.61

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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.