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Finding the Fourth Proportional to 632.74, 873.45 and 425.86

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Solution

The fourth proportional to 632.74, 873.45 and 425.86 is: 587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.74 : 873.45 = 425.86 : x
  2. Step 2: Convert to fraction form
    632.74/873.45 = 425.86/x
  3. Step 3: Cross multiply
    632.74x = 873.45 × 425.86
  4. Step 4: Simplify right side
    632.74x = 371,967.42
  5. Step 5: Solve for x
    x = 371,967.42/632.74
  6. Step 6: Final answer
    x = 587.87

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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.