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Finding the Fourth Proportional to 461.32, 690.24 and 324.63

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Solution

The fourth proportional to 461.32, 690.24 and 324.63 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 690.24 = 324.63 : x
  2. Step 2: Convert to fraction form
    461.32/690.24 = 324.63/x
  3. Step 3: Cross multiply
    461.32x = 690.24 × 324.63
  4. Step 4: Simplify right side
    461.32x = 224,072.61
  5. Step 5: Solve for x
    x = 224,072.61/461.32
  6. Step 6: Final answer
    x = 485.72

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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.