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Finding the Fourth Proportional to 498.24, 747.36 and 205.65

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Solution

The fourth proportional to 498.24, 747.36 and 205.65 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.36 = 205.65 : x
  2. Step 2: Convert to fraction form
    498.24/747.36 = 205.65/x
  3. Step 3: Cross multiply
    498.24x = 747.36 × 205.65
  4. Step 4: Simplify right side
    498.24x = 153,694.58
  5. Step 5: Solve for x
    x = 153,694.58/498.24
  6. Step 6: Final answer
    x = 308.48

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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.