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Finding the Fourth Proportional to 632.54, 873.02 and 408.75

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Solution

The fourth proportional to 632.54, 873.02 and 408.75 is: 564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.54 : 873.02 = 408.75 : x
  2. Step 2: Convert to fraction form
    632.54/873.02 = 408.75/x
  3. Step 3: Cross multiply
    632.54x = 873.02 × 408.75
  4. Step 4: Simplify right side
    632.54x = 356,851.75
  5. Step 5: Solve for x
    x = 356,851.75/632.54
  6. Step 6: Final answer
    x = 564.15

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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.