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Finding the Fourth Proportional to 332.25, 497.26 and 254.80

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Solution

The fourth proportional to 332.25, 497.26 and 254.80 is: 381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.25 : 497.26 = 254.80 : x
  2. Step 2: Convert to fraction form
    332.25/497.26 = 254.80/x
  3. Step 3: Cross multiply
    332.25x = 497.26 × 254.80
  4. Step 4: Simplify right side
    332.25x = 126,700.71
  5. Step 5: Solve for x
    x = 126,700.71/332.25
  6. Step 6: Final answer
    x = 381.34

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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.