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Finding the Fourth Proportional to 411.61, 568.01 and 225.11

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Solution

The fourth proportional to 411.61, 568.01 and 225.11 is: 310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.61 : 568.01 = 225.11 : x
  2. Step 2: Convert to fraction form
    411.61/568.01 = 225.11/x
  3. Step 3: Cross multiply
    411.61x = 568.01 × 225.11
  4. Step 4: Simplify right side
    411.61x = 127,862.45
  5. Step 5: Solve for x
    x = 127,862.45/411.61
  6. Step 6: Final answer
    x = 310.64

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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.