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Finding the Fourth Proportional to 741.48, 1,111.95 and 330.54

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Solution

The fourth proportional to 741.48, 1,111.95 and 330.54 is: 495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.48 : 1,111.95 = 330.54 : x
  2. Step 2: Convert to fraction form
    741.48/1,111.95 = 330.54/x
  3. Step 3: Cross multiply
    741.48x = 1,111.95 × 330.54
  4. Step 4: Simplify right side
    741.48x = 367,543.95
  5. Step 5: Solve for x
    x = 367,543.95/741.48
  6. Step 6: Final answer
    x = 495.69

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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.