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Finding the Fourth Proportional to 411.55, 567.95 and 225.04

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Solution

The fourth proportional to 411.55, 567.95 and 225.04 is: 310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.55 : 567.95 = 225.04 : x
  2. Step 2: Convert to fraction form
    411.55/567.95 = 225.04/x
  3. Step 3: Cross multiply
    411.55x = 567.95 × 225.04
  4. Step 4: Simplify right side
    411.55x = 127,811.47
  5. Step 5: Solve for x
    x = 127,811.47/411.55
  6. Step 6: Final answer
    x = 310.56

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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.