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Finding the Fourth Proportional to 411.95, 568.47 and 225.43

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Solution

The fourth proportional to 411.95, 568.47 and 225.43 is: 311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 568.47 = 225.43 : x
  2. Step 2: Convert to fraction form
    411.95/568.47 = 225.43/x
  3. Step 3: Cross multiply
    411.95x = 568.47 × 225.43
  4. Step 4: Simplify right side
    411.95x = 128,150.19
  5. Step 5: Solve for x
    x = 128,150.19/411.95
  6. Step 6: Final answer
    x = 311.08

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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.