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Finding the Fourth Proportional to 412, 568.58 and 234.95

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Solution

The fourth proportional to 412, 568.58 and 234.95 is: 324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 568.58 = 234.95 : x
  2. Step 2: Convert to fraction form
    412/568.58 = 234.95/x
  3. Step 3: Cross multiply
    412x = 568.58 × 234.95
  4. Step 4: Simplify right side
    412x = 133,587.87
  5. Step 5: Solve for x
    x = 133,587.87/412
  6. Step 6: Final answer
    x = 324.24

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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.