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Finding the Fourth Proportional to 477.56, 658.96 and 291.05

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Solution

The fourth proportional to 477.56, 658.96 and 291.05 is: 401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.56 : 658.96 = 291.05 : x
  2. Step 2: Convert to fraction form
    477.56/658.96 = 291.05/x
  3. Step 3: Cross multiply
    477.56x = 658.96 × 291.05
  4. Step 4: Simplify right side
    477.56x = 191,791.23
  5. Step 5: Solve for x
    x = 191,791.23/477.56
  6. Step 6: Final answer
    x = 401.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.