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Finding the Fourth Proportional to 296.40, 408.46 and 291.68

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Solution

The fourth proportional to 296.40, 408.46 and 291.68 is: 401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 408.46 = 291.68 : x
  2. Step 2: Convert to fraction form
    296.40/408.46 = 291.68/x
  3. Step 3: Cross multiply
    296.40x = 408.46 × 291.68
  4. Step 4: Simplify right side
    296.40x = 119,139.61
  5. Step 5: Solve for x
    x = 119,139.61/296.40
  6. Step 6: Final answer
    x = 401.96

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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.