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Finding the Fourth Proportional to 297.72, 444.15 and 292.32

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Solution

The fourth proportional to 297.72, 444.15 and 292.32 is: 436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 444.15 = 292.32 : x
  2. Step 2: Convert to fraction form
    297.72/444.15 = 292.32/x
  3. Step 3: Cross multiply
    297.72x = 444.15 × 292.32
  4. Step 4: Simplify right side
    297.72x = 129,833.93
  5. Step 5: Solve for x
    x = 129,833.93/297.72
  6. Step 6: Final answer
    x = 436.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.