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Finding the Fourth Proportional to 632.92, 873.36 and 353.10

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Solution

The fourth proportional to 632.92, 873.36 and 353.10 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.92 : 873.36 = 353.10 : x
  2. Step 2: Convert to fraction form
    632.92/873.36 = 353.10/x
  3. Step 3: Cross multiply
    632.92x = 873.36 × 353.10
  4. Step 4: Simplify right side
    632.92x = 308,383.42
  5. Step 5: Solve for x
    x = 308,383.42/632.92
  6. Step 6: Final answer
    x = 487.24

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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.