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Finding the Fourth Proportional to 742.56, 1,114.00 and 280.33

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Solution

The fourth proportional to 742.56, 1,114.00 and 280.33 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.56 : 1,114.00 = 280.33 : x
  2. Step 2: Convert to fraction form
    742.56/1,114.00 = 280.33/x
  3. Step 3: Cross multiply
    742.56x = 1,114.00 × 280.33
  4. Step 4: Simplify right side
    742.56x = 312,291.59
  5. Step 5: Solve for x
    x = 312,291.59/742.56
  6. Step 6: Final answer
    x = 420.56

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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.