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Finding the Fourth Proportional to 742.33, 1,113.49 and 279.98

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Solution

The fourth proportional to 742.33, 1,113.49 and 279.98 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.33 : 1,113.49 = 279.98 : x
  2. Step 2: Convert to fraction form
    742.33/1,113.49 = 279.98/x
  3. Step 3: Cross multiply
    742.33x = 1,113.49 × 279.98
  4. Step 4: Simplify right side
    742.33x = 311,754.93
  5. Step 5: Solve for x
    x = 311,754.93/742.33
  6. Step 6: Final answer
    x = 419.97

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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.