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Finding the Fourth Proportional to 718.17, 1,076.72 and 306.96

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Solution

The fourth proportional to 718.17, 1,076.72 and 306.96 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.17 : 1,076.72 = 306.96 : x
  2. Step 2: Convert to fraction form
    718.17/1,076.72 = 306.96/x
  3. Step 3: Cross multiply
    718.17x = 1,076.72 × 306.96
  4. Step 4: Simplify right side
    718.17x = 330,508.44
  5. Step 5: Solve for x
    x = 330,508.44/718.17
  6. Step 6: Final answer
    x = 460.21

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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.