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Finding the Fourth Proportional to 632.27, 874.47 and 566.75

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Solution

The fourth proportional to 632.27, 874.47 and 566.75 is: 783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.27 : 874.47 = 566.75 : x
  2. Step 2: Convert to fraction form
    632.27/874.47 = 566.75/x
  3. Step 3: Cross multiply
    632.27x = 874.47 × 566.75
  4. Step 4: Simplify right side
    632.27x = 495,601.50
  5. Step 5: Solve for x
    x = 495,601.50/632.27
  6. Step 6: Final answer
    x = 783.85

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