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Finding the Fourth Proportional to 411.80, 568.51 and 306.74

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Solution

The fourth proportional to 411.80, 568.51 and 306.74 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 568.51 = 306.74 : x
  2. Step 2: Convert to fraction form
    411.80/568.51 = 306.74/x
  3. Step 3: Cross multiply
    411.80x = 568.51 × 306.74
  4. Step 4: Simplify right side
    411.80x = 174,385.41
  5. Step 5: Solve for x
    x = 174,385.41/411.80
  6. Step 6: Final answer
    x = 423.48

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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.