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Finding the Fourth Proportional to 497.86, 747.10 and 254.48

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Solution

The fourth proportional to 497.86, 747.10 and 254.48 is: 381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.86 : 747.10 = 254.48 : x
  2. Step 2: Convert to fraction form
    497.86/747.10 = 254.48/x
  3. Step 3: Cross multiply
    497.86x = 747.10 × 254.48
  4. Step 4: Simplify right side
    497.86x = 190,122.01
  5. Step 5: Solve for x
    x = 190,122.01/497.86
  6. Step 6: Final answer
    x = 381.88

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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.