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Finding the Fourth Proportional to 632.43, 945.11 and 597.33

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Solution

The fourth proportional to 632.43, 945.11 and 597.33 is: 892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.43 : 945.11 = 597.33 : x
  2. Step 2: Convert to fraction form
    632.43/945.11 = 597.33/x
  3. Step 3: Cross multiply
    632.43x = 945.11 × 597.33
  4. Step 4: Simplify right side
    632.43x = 564,544.05
  5. Step 5: Solve for x
    x = 564,544.05/632.43
  6. Step 6: Final answer
    x = 892.66

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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.