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Finding the Fourth Proportional to 297.92, 447.80 and 291.55

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Solution

The fourth proportional to 297.92, 447.80 and 291.55 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 447.80 = 291.55 : x
  2. Step 2: Convert to fraction form
    297.92/447.80 = 291.55/x
  3. Step 3: Cross multiply
    297.92x = 447.80 × 291.55
  4. Step 4: Simplify right side
    297.92x = 130,553.51
  5. Step 5: Solve for x
    x = 130,553.51/297.92
  6. Step 6: Final answer
    x = 438.21

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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.