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Finding the Fourth Proportional to 286.98, 432.08 and 252.96

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Solution

The fourth proportional to 286.98, 432.08 and 252.96 is: 380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 432.08 = 252.96 : x
  2. Step 2: Convert to fraction form
    286.98/432.08 = 252.96/x
  3. Step 3: Cross multiply
    286.98x = 432.08 × 252.96
  4. Step 4: Simplify right side
    286.98x = 109,298.96
  5. Step 5: Solve for x
    x = 109,298.96/286.98
  6. Step 6: Final answer
    x = 380.86

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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.