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Finding the Fourth Proportional to 741.38, 1,111.35 and 278.96

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Solution

The fourth proportional to 741.38, 1,111.35 and 278.96 is: 418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.38 : 1,111.35 = 278.96 : x
  2. Step 2: Convert to fraction form
    741.38/1,111.35 = 278.96/x
  3. Step 3: Cross multiply
    741.38x = 1,111.35 × 278.96
  4. Step 4: Simplify right side
    741.38x = 310,022.20
  5. Step 5: Solve for x
    x = 310,022.20/741.38
  6. Step 6: Final answer
    x = 418.17

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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.