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Finding the Fourth Proportional to 493.20, 738.42 and 310.02

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Solution

The fourth proportional to 493.20, 738.42 and 310.02 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 738.42 = 310.02 : x
  2. Step 2: Convert to fraction form
    493.20/738.42 = 310.02/x
  3. Step 3: Cross multiply
    493.20x = 738.42 × 310.02
  4. Step 4: Simplify right side
    493.20x = 228,924.97
  5. Step 5: Solve for x
    x = 228,924.97/493.20
  6. Step 6: Final answer
    x = 464.16

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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.