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Finding the Fourth Proportional to 596.32, 892.94 and 442

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Solution

The fourth proportional to 596.32, 892.94 and 442 is: 661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 892.94 = 442 : x
  2. Step 2: Convert to fraction form
    596.32/892.94 = 442/x
  3. Step 3: Cross multiply
    596.32x = 892.94 × 442
  4. Step 4: Simplify right side
    596.32x = 394,679.48
  5. Step 5: Solve for x
    x = 394,679.48/596.32
  6. Step 6: Final answer
    x = 661.86

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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.