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Finding the Fourth Proportional to 632.41, 944.56 and 596.87

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Solution

The fourth proportional to 632.41, 944.56 and 596.87 is: 891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.41 : 944.56 = 596.87 : x
  2. Step 2: Convert to fraction form
    632.41/944.56 = 596.87/x
  3. Step 3: Cross multiply
    632.41x = 944.56 × 596.87
  4. Step 4: Simplify right side
    632.41x = 563,779.09
  5. Step 5: Solve for x
    x = 563,779.09/632.41
  6. Step 6: Final answer
    x = 891.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.