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Finding the Fourth Proportional to 412, 568.57 and 237.35

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Solution

The fourth proportional to 412, 568.57 and 237.35 is: 327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 568.57 = 237.35 : x
  2. Step 2: Convert to fraction form
    412/568.57 = 237.35/x
  3. Step 3: Cross multiply
    412x = 568.57 × 237.35
  4. Step 4: Simplify right side
    412x = 134,950.09
  5. Step 5: Solve for x
    x = 134,950.09/412
  6. Step 6: Final answer
    x = 327.55

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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.