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Finding the Fourth Proportional to 402.50, 555.42 and 225.46

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Solution

The fourth proportional to 402.50, 555.42 and 225.46 is: 311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.50 : 555.42 = 225.46 : x
  2. Step 2: Convert to fraction form
    402.50/555.42 = 225.46/x
  3. Step 3: Cross multiply
    402.50x = 555.42 × 225.46
  4. Step 4: Simplify right side
    402.50x = 125,224.99
  5. Step 5: Solve for x
    x = 125,224.99/402.50
  6. Step 6: Final answer
    x = 311.12

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