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Finding the Fourth Proportional to 492.80, 737.75 and 318.96

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Solution

The fourth proportional to 492.80, 737.75 and 318.96 is: 477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 737.75 = 318.96 : x
  2. Step 2: Convert to fraction form
    492.80/737.75 = 318.96/x
  3. Step 3: Cross multiply
    492.80x = 737.75 × 318.96
  4. Step 4: Simplify right side
    492.80x = 235,313.54
  5. Step 5: Solve for x
    x = 235,313.54/492.80
  6. Step 6: Final answer
    x = 477.51

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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.