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Finding the Fourth Proportional to 291.08, 398.84 and 286.76

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Solution

The fourth proportional to 291.08, 398.84 and 286.76 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.08 : 398.84 = 286.76 : x
  2. Step 2: Convert to fraction form
    291.08/398.84 = 286.76/x
  3. Step 3: Cross multiply
    291.08x = 398.84 × 286.76
  4. Step 4: Simplify right side
    291.08x = 114,371.36
  5. Step 5: Solve for x
    x = 114,371.36/291.08
  6. Step 6: Final answer
    x = 392.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.