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Finding the Fourth Proportional to 492.30, 737.64 and 318.96

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Solution

The fourth proportional to 492.30, 737.64 and 318.96 is: 477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 737.64 = 318.96 : x
  2. Step 2: Convert to fraction form
    492.30/737.64 = 318.96/x
  3. Step 3: Cross multiply
    492.30x = 737.64 × 318.96
  4. Step 4: Simplify right side
    492.30x = 235,277.65
  5. Step 5: Solve for x
    x = 235,277.65/492.30
  6. Step 6: Final answer
    x = 477.92

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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.