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Finding the Fourth Proportional to 291.32, 399.14 and 287.48

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Solution

The fourth proportional to 291.32, 399.14 and 287.48 is: 393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.32 : 399.14 = 287.48 : x
  2. Step 2: Convert to fraction form
    291.32/399.14 = 287.48/x
  3. Step 3: Cross multiply
    291.32x = 399.14 × 287.48
  4. Step 4: Simplify right side
    291.32x = 114,744.77
  5. Step 5: Solve for x
    x = 114,744.77/291.32
  6. Step 6: Final answer
    x = 393.88

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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.