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Finding the Fourth Proportional to 632.86, 944.34 and 501.37

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Solution

The fourth proportional to 632.86, 944.34 and 501.37 is: 748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.86 : 944.34 = 501.37 : x
  2. Step 2: Convert to fraction form
    632.86/944.34 = 501.37/x
  3. Step 3: Cross multiply
    632.86x = 944.34 × 501.37
  4. Step 4: Simplify right side
    632.86x = 473,463.75
  5. Step 5: Solve for x
    x = 473,463.75/632.86
  6. Step 6: Final answer
    x = 748.13

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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.