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Finding the Fourth Proportional to 492.41, 738.87 and 319.03

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Solution

The fourth proportional to 492.41, 738.87 and 319.03 is: 478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.41 : 738.87 = 319.03 : x
  2. Step 2: Convert to fraction form
    492.41/738.87 = 319.03/x
  3. Step 3: Cross multiply
    492.41x = 738.87 × 319.03
  4. Step 4: Simplify right side
    492.41x = 235,719.00
  5. Step 5: Solve for x
    x = 235,719.00/492.41
  6. Step 6: Final answer
    x = 478.71

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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.