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Finding the Fourth Proportional to 461.96, 637.52 and 275.48

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Solution

The fourth proportional to 461.96, 637.52 and 275.48 is: 380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 637.52 = 275.48 : x
  2. Step 2: Convert to fraction form
    461.96/637.52 = 275.48/x
  3. Step 3: Cross multiply
    461.96x = 637.52 × 275.48
  4. Step 4: Simplify right side
    461.96x = 175,624.01
  5. Step 5: Solve for x
    x = 175,624.01/461.96
  6. Step 6: Final answer
    x = 380.17

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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.