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Finding the Fourth Proportional to 632.72, 873.54 and 408.85

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Solution

The fourth proportional to 632.72, 873.54 and 408.85 is: 564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 873.54 = 408.85 : x
  2. Step 2: Convert to fraction form
    632.72/873.54 = 408.85/x
  3. Step 3: Cross multiply
    632.72x = 873.54 × 408.85
  4. Step 4: Simplify right side
    632.72x = 357,146.83
  5. Step 5: Solve for x
    x = 357,146.83/632.72
  6. Step 6: Final answer
    x = 564.46

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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.