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Finding the Fourth Proportional to 412.32, 568.88 and 235.24

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Solution

The fourth proportional to 412.32, 568.88 and 235.24 is: 324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 568.88 = 235.24 : x
  2. Step 2: Convert to fraction form
    412.32/568.88 = 235.24/x
  3. Step 3: Cross multiply
    412.32x = 568.88 × 235.24
  4. Step 4: Simplify right side
    412.32x = 133,823.33
  5. Step 5: Solve for x
    x = 133,823.33/412.32
  6. Step 6: Final answer
    x = 324.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.