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Finding the Fourth Proportional to 742.22, 1,113.33 and 279.74

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Solution

The fourth proportional to 742.22, 1,113.33 and 279.74 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.22 : 1,113.33 = 279.74 : x
  2. Step 2: Convert to fraction form
    742.22/1,113.33 = 279.74/x
  3. Step 3: Cross multiply
    742.22x = 1,113.33 × 279.74
  4. Step 4: Simplify right side
    742.22x = 311,442.93
  5. Step 5: Solve for x
    x = 311,442.93/742.22
  6. Step 6: Final answer
    x = 419.61

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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.