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Finding the Fourth Proportional to 632.16, 946.08 and 439.92

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Solution

The fourth proportional to 632.16, 946.08 and 439.92 is: 658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.16 : 946.08 = 439.92 : x
  2. Step 2: Convert to fraction form
    632.16/946.08 = 439.92/x
  3. Step 3: Cross multiply
    632.16x = 946.08 × 439.92
  4. Step 4: Simplify right side
    632.16x = 416,199.51
  5. Step 5: Solve for x
    x = 416,199.51/632.16
  6. Step 6: Final answer
    x = 658.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.