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Finding the Fourth Proportional to 565.98, 849.22 and 257.87

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Solution

The fourth proportional to 565.98, 849.22 and 257.87 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.98 : 849.22 = 257.87 : x
  2. Step 2: Convert to fraction form
    565.98/849.22 = 257.87/x
  3. Step 3: Cross multiply
    565.98x = 849.22 × 257.87
  4. Step 4: Simplify right side
    565.98x = 218,983.47
  5. Step 5: Solve for x
    x = 218,983.47/565.98
  6. Step 6: Final answer
    x = 386.91

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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.