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Finding the Fourth Proportional to 461.89, 637.86 and 296.16

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Solution

The fourth proportional to 461.89, 637.86 and 296.16 is: 408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 637.86 = 296.16 : x
  2. Step 2: Convert to fraction form
    461.89/637.86 = 296.16/x
  3. Step 3: Cross multiply
    461.89x = 637.86 × 296.16
  4. Step 4: Simplify right side
    461.89x = 188,908.62
  5. Step 5: Solve for x
    x = 188,908.62/461.89
  6. Step 6: Final answer
    x = 408.99

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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.