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Finding the Fourth Proportional to 407.97, 612.13 and 225.50

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Solution

The fourth proportional to 407.97, 612.13 and 225.50 is: 338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 612.13 = 225.50 : x
  2. Step 2: Convert to fraction form
    407.97/612.13 = 225.50/x
  3. Step 3: Cross multiply
    407.97x = 612.13 × 225.50
  4. Step 4: Simplify right side
    407.97x = 138,032.25
  5. Step 5: Solve for x
    x = 138,032.25/407.97
  6. Step 6: Final answer
    x = 338.34

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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.