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Finding the Fourth Proportional to 493.35, 739.74 and 362.13

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Solution

The fourth proportional to 493.35, 739.74 and 362.13 is: 542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.35 : 739.74 = 362.13 : x
  2. Step 2: Convert to fraction form
    493.35/739.74 = 362.13/x
  3. Step 3: Cross multiply
    493.35x = 739.74 × 362.13
  4. Step 4: Simplify right side
    493.35x = 267,882.05
  5. Step 5: Solve for x
    x = 267,882.05/493.35
  6. Step 6: Final answer
    x = 542.99

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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.