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Finding the Fourth Proportional to 498.35, 747.76 and 254.75

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Solution

The fourth proportional to 498.35, 747.76 and 254.75 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.35 : 747.76 = 254.75 : x
  2. Step 2: Convert to fraction form
    498.35/747.76 = 254.75/x
  3. Step 3: Cross multiply
    498.35x = 747.76 × 254.75
  4. Step 4: Simplify right side
    498.35x = 190,487.25
  5. Step 5: Solve for x
    x = 190,487.25/498.35
  6. Step 6: Final answer
    x = 382.23

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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.