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Finding the Fourth Proportional to 296.70, 446.01 and 295.26

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Solution

The fourth proportional to 296.70, 446.01 and 295.26 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 446.01 = 295.26 : x
  2. Step 2: Convert to fraction form
    296.70/446.01 = 295.26/x
  3. Step 3: Cross multiply
    296.70x = 446.01 × 295.26
  4. Step 4: Simplify right side
    296.70x = 131,688.91
  5. Step 5: Solve for x
    x = 131,688.91/296.70
  6. Step 6: Final answer
    x = 443.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.