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Finding the Fourth Proportional to 492.20, 738.44 and 319.20

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Solution

The fourth proportional to 492.20, 738.44 and 319.20 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.20 : 738.44 = 319.20 : x
  2. Step 2: Convert to fraction form
    492.20/738.44 = 319.20/x
  3. Step 3: Cross multiply
    492.20x = 738.44 × 319.20
  4. Step 4: Simplify right side
    492.20x = 235,710.05
  5. Step 5: Solve for x
    x = 235,710.05/492.20
  6. Step 6: Final answer
    x = 478.89

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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.