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Finding the Fourth Proportional to 740.73, 1,111.38 and 329.91

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Solution

The fourth proportional to 740.73, 1,111.38 and 329.91 is: 494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.73 : 1,111.38 = 329.91 : x
  2. Step 2: Convert to fraction form
    740.73/1,111.38 = 329.91/x
  3. Step 3: Cross multiply
    740.73x = 1,111.38 × 329.91
  4. Step 4: Simplify right side
    740.73x = 366,655.38
  5. Step 5: Solve for x
    x = 366,655.38/740.73
  6. Step 6: Final answer
    x = 494.99

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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.