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Finding the Fourth Proportional to 493.21, 738.24 and 378.10

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Solution

The fourth proportional to 493.21, 738.24 and 378.10 is: 565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.21 : 738.24 = 378.10 : x
  2. Step 2: Convert to fraction form
    493.21/738.24 = 378.10/x
  3. Step 3: Cross multiply
    493.21x = 738.24 × 378.10
  4. Step 4: Simplify right side
    493.21x = 279,128.54
  5. Step 5: Solve for x
    x = 279,128.54/493.21
  6. Step 6: Final answer
    x = 565.94

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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.