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Finding the Fourth Proportional to 632.15, 869.46 and 519.32

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Solution

The fourth proportional to 632.15, 869.46 and 519.32 is: 714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.15 : 869.46 = 519.32 : x
  2. Step 2: Convert to fraction form
    632.15/869.46 = 519.32/x
  3. Step 3: Cross multiply
    632.15x = 869.46 × 519.32
  4. Step 4: Simplify right side
    632.15x = 451,527.97
  5. Step 5: Solve for x
    x = 451,527.97/632.15
  6. Step 6: Final answer
    x = 714.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.