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Finding the Fourth Proportional to 351.66, 485.24 and 296.30

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Solution

The fourth proportional to 351.66, 485.24 and 296.30 is: 408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.66 : 485.24 = 296.30 : x
  2. Step 2: Convert to fraction form
    351.66/485.24 = 296.30/x
  3. Step 3: Cross multiply
    351.66x = 485.24 × 296.30
  4. Step 4: Simplify right side
    351.66x = 143,776.61
  5. Step 5: Solve for x
    x = 143,776.61/351.66
  6. Step 6: Final answer
    x = 408.85

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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.