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Finding the Fourth Proportional to 718.31, 1,077.25 and 256.03

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Solution

The fourth proportional to 718.31, 1,077.25 and 256.03 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.31 : 1,077.25 = 256.03 : x
  2. Step 2: Convert to fraction form
    718.31/1,077.25 = 256.03/x
  3. Step 3: Cross multiply
    718.31x = 1,077.25 × 256.03
  4. Step 4: Simplify right side
    718.31x = 275,805.46
  5. Step 5: Solve for x
    x = 275,805.46/718.31
  6. Step 6: Final answer
    x = 383.96

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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.