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Finding the Fourth Proportional to 493.56, 738.90 and 474.84

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Solution

The fourth proportional to 493.56, 738.90 and 474.84 is: 710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.56 : 738.90 = 474.84 : x
  2. Step 2: Convert to fraction form
    493.56/738.90 = 474.84/x
  3. Step 3: Cross multiply
    493.56x = 738.90 × 474.84
  4. Step 4: Simplify right side
    493.56x = 350,859.28
  5. Step 5: Solve for x
    x = 350,859.28/493.56
  6. Step 6: Final answer
    x = 710.87

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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.