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Finding the Fourth Proportional to 291.44, 439.90 and 291.44

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Solution

The fourth proportional to 291.44, 439.90 and 291.44 is: 439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.44 : 439.90 = 291.44 : x
  2. Step 2: Convert to fraction form
    291.44/439.90 = 291.44/x
  3. Step 3: Cross multiply
    291.44x = 439.90 × 291.44
  4. Step 4: Simplify right side
    291.44x = 128,204.83
  5. Step 5: Solve for x
    x = 128,204.83/291.44
  6. Step 6: Final answer
    x = 439.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.