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Finding the Fourth Proportional to 498.65, 747.36 and 255.04

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Solution

The fourth proportional to 498.65, 747.36 and 255.04 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 747.36 = 255.04 : x
  2. Step 2: Convert to fraction form
    498.65/747.36 = 255.04/x
  3. Step 3: Cross multiply
    498.65x = 747.36 × 255.04
  4. Step 4: Simplify right side
    498.65x = 190,606.69
  5. Step 5: Solve for x
    x = 190,606.69/498.65
  6. Step 6: Final answer
    x = 382.25

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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.