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Finding the Fourth Proportional to 740.52, 1,109.82 and 355.56

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Solution

The fourth proportional to 740.52, 1,109.82 and 355.56 is: 532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.52 : 1,109.82 = 355.56 : x
  2. Step 2: Convert to fraction form
    740.52/1,109.82 = 355.56/x
  3. Step 3: Cross multiply
    740.52x = 1,109.82 × 355.56
  4. Step 4: Simplify right side
    740.52x = 394,607.60
  5. Step 5: Solve for x
    x = 394,607.60/740.52
  6. Step 6: Final answer
    x = 532.88

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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.