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Finding the Fourth Proportional to 411.45, 568.55 and 306.96

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Solution

The fourth proportional to 411.45, 568.55 and 306.96 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.45 : 568.55 = 306.96 : x
  2. Step 2: Convert to fraction form
    411.45/568.55 = 306.96/x
  3. Step 3: Cross multiply
    411.45x = 568.55 × 306.96
  4. Step 4: Simplify right side
    411.45x = 174,520.57
  5. Step 5: Solve for x
    x = 174,520.57/411.45
  6. Step 6: Final answer
    x = 424.16

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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.