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Finding the Fourth Proportional to 718.70, 1,077.29 and 308.09

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Solution

The fourth proportional to 718.70, 1,077.29 and 308.09 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.70 : 1,077.29 = 308.09 : x
  2. Step 2: Convert to fraction form
    718.70/1,077.29 = 308.09/x
  3. Step 3: Cross multiply
    718.70x = 1,077.29 × 308.09
  4. Step 4: Simplify right side
    718.70x = 331,895.35
  5. Step 5: Solve for x
    x = 331,895.35/718.70
  6. Step 6: Final answer
    x = 461.80

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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.