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Finding the Fourth Proportional to 297.38, 445.10 and 286.68

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Solution

The fourth proportional to 297.38, 445.10 and 286.68 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 445.10 = 286.68 : x
  2. Step 2: Convert to fraction form
    297.38/445.10 = 286.68/x
  3. Step 3: Cross multiply
    297.38x = 445.10 × 286.68
  4. Step 4: Simplify right side
    297.38x = 127,601.98
  5. Step 5: Solve for x
    x = 127,601.98/297.38
  6. Step 6: Final answer
    x = 429.08

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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.