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Finding the Fourth Proportional to 742.23, 1,113.77 and 309.38

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Solution

The fourth proportional to 742.23, 1,113.77 and 309.38 is: 464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.23 : 1,113.77 = 309.38 : x
  2. Step 2: Convert to fraction form
    742.23/1,113.77 = 309.38/x
  3. Step 3: Cross multiply
    742.23x = 1,113.77 × 309.38
  4. Step 4: Simplify right side
    742.23x = 344,573.37
  5. Step 5: Solve for x
    x = 344,573.37/742.23
  6. Step 6: Final answer
    x = 464.24

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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.