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Finding the Fourth Proportional to 412.16, 568.78 and 237.50

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Solution

The fourth proportional to 412.16, 568.78 and 237.50 is: 327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 568.78 = 237.50 : x
  2. Step 2: Convert to fraction form
    412.16/568.78 = 237.50/x
  3. Step 3: Cross multiply
    412.16x = 568.78 × 237.50
  4. Step 4: Simplify right side
    412.16x = 135,084.06
  5. Step 5: Solve for x
    x = 135,084.06/412.16
  6. Step 6: Final answer
    x = 327.75

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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.