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Finding the Fourth Proportional to 335.98, 463.78 and 225.42

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Solution

The fourth proportional to 335.98, 463.78 and 225.42 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.98 : 463.78 = 225.42 : x
  2. Step 2: Convert to fraction form
    335.98/463.78 = 225.42/x
  3. Step 3: Cross multiply
    335.98x = 463.78 × 225.42
  4. Step 4: Simplify right side
    335.98x = 104,545.29
  5. Step 5: Solve for x
    x = 104,545.29/335.98
  6. Step 6: Final answer
    x = 311.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.