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Finding the Fourth Proportional to 411.74, 568.23 and 234.72

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Solution

The fourth proportional to 411.74, 568.23 and 234.72 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 568.23 = 234.72 : x
  2. Step 2: Convert to fraction form
    411.74/568.23 = 234.72/x
  3. Step 3: Cross multiply
    411.74x = 568.23 × 234.72
  4. Step 4: Simplify right side
    411.74x = 133,373.77
  5. Step 5: Solve for x
    x = 133,373.77/411.74
  6. Step 6: Final answer
    x = 323.93

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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.