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Finding the Fourth Proportional to 632.39, 873.05 and 563.18

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Solution

The fourth proportional to 632.39, 873.05 and 563.18 is: 777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.39 : 873.05 = 563.18 : x
  2. Step 2: Convert to fraction form
    632.39/873.05 = 563.18/x
  3. Step 3: Cross multiply
    632.39x = 873.05 × 563.18
  4. Step 4: Simplify right side
    632.39x = 491,677.12
  5. Step 5: Solve for x
    x = 491,677.12/632.39
  6. Step 6: Final answer
    x = 777.50

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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.