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Finding the Fourth Proportional to 632.61, 873.18 and 422.82

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Solution

The fourth proportional to 632.61, 873.18 and 422.82 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 873.18 = 422.82 : x
  2. Step 2: Convert to fraction form
    632.61/873.18 = 422.82/x
  3. Step 3: Cross multiply
    632.61x = 873.18 × 422.82
  4. Step 4: Simplify right side
    632.61x = 369,197.97
  5. Step 5: Solve for x
    x = 369,197.97/632.61
  6. Step 6: Final answer
    x = 583.61

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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.