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Finding the Fourth Proportional to 297.32, 446.40 and 286.79

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Solution

The fourth proportional to 297.32, 446.40 and 286.79 is: 430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.32 : 446.40 = 286.79 : x
  2. Step 2: Convert to fraction form
    297.32/446.40 = 286.79/x
  3. Step 3: Cross multiply
    297.32x = 446.40 × 286.79
  4. Step 4: Simplify right side
    297.32x = 128,020.82
  5. Step 5: Solve for x
    x = 128,020.82/297.32
  6. Step 6: Final answer
    x = 430.59

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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.