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Finding the Fourth Proportional to 741.60, 1,111.32 and 308.28

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Solution

The fourth proportional to 741.60, 1,111.32 and 308.28 is: 461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.60 : 1,111.32 = 308.28 : x
  2. Step 2: Convert to fraction form
    741.60/1,111.32 = 308.28/x
  3. Step 3: Cross multiply
    741.60x = 1,111.32 × 308.28
  4. Step 4: Simplify right side
    741.60x = 342,597.73
  5. Step 5: Solve for x
    x = 342,597.73/741.60
  6. Step 6: Final answer
    x = 461.97

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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.