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Finding the Fourth Proportional to 411.84, 568.36 and 225.34

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Solution

The fourth proportional to 411.84, 568.36 and 225.34 is: 310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 568.36 = 225.34 : x
  2. Step 2: Convert to fraction form
    411.84/568.36 = 225.34/x
  3. Step 3: Cross multiply
    411.84x = 568.36 × 225.34
  4. Step 4: Simplify right side
    411.84x = 128,074.07
  5. Step 5: Solve for x
    x = 128,074.07/411.84
  6. Step 6: Final answer
    x = 310.98

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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.