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Finding the Fourth Proportional to 632.58, 873.12 and 446.12

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Solution

The fourth proportional to 632.58, 873.12 and 446.12 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 873.12 = 446.12 : x
  2. Step 2: Convert to fraction form
    632.58/873.12 = 446.12/x
  3. Step 3: Cross multiply
    632.58x = 873.12 × 446.12
  4. Step 4: Simplify right side
    632.58x = 389,516.29
  5. Step 5: Solve for x
    x = 389,516.29/632.58
  6. Step 6: Final answer
    x = 615.76

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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.