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Finding the Fourth Proportional to 758.18, 1,137.31 and 264.58

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Solution

The fourth proportional to 758.18, 1,137.31 and 264.58 is: 396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.18 : 1,137.31 = 264.58 : x
  2. Step 2: Convert to fraction form
    758.18/1,137.31 = 264.58/x
  3. Step 3: Cross multiply
    758.18x = 1,137.31 × 264.58
  4. Step 4: Simplify right side
    758.18x = 300,905.98
  5. Step 5: Solve for x
    x = 300,905.98/758.18
  6. Step 6: Final answer
    x = 396.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.