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Finding the Fourth Proportional to 632.32, 872.59 and 356.32

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Solution

The fourth proportional to 632.32, 872.59 and 356.32 is: 491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.32 : 872.59 = 356.32 : x
  2. Step 2: Convert to fraction form
    632.32/872.59 = 356.32/x
  3. Step 3: Cross multiply
    632.32x = 872.59 × 356.32
  4. Step 4: Simplify right side
    632.32x = 310,921.27
  5. Step 5: Solve for x
    x = 310,921.27/632.32
  6. Step 6: Final answer
    x = 491.72

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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.