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Finding the Fourth Proportional to 411.54, 567.92 and 225.03

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Solution

The fourth proportional to 411.54, 567.92 and 225.03 is: 310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.54 : 567.92 = 225.03 : x
  2. Step 2: Convert to fraction form
    411.54/567.92 = 225.03/x
  3. Step 3: Cross multiply
    411.54x = 567.92 × 225.03
  4. Step 4: Simplify right side
    411.54x = 127,795.78
  5. Step 5: Solve for x
    x = 127,795.78/411.54
  6. Step 6: Final answer
    x = 310.53

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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.