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Finding the Fourth Proportional to 412.18, 568.72 and 264.84

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Solution

The fourth proportional to 412.18, 568.72 and 264.84 is: 365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 568.72 = 264.84 : x
  2. Step 2: Convert to fraction form
    412.18/568.72 = 264.84/x
  3. Step 3: Cross multiply
    412.18x = 568.72 × 264.84
  4. Step 4: Simplify right side
    412.18x = 150,619.80
  5. Step 5: Solve for x
    x = 150,619.80/412.18
  6. Step 6: Final answer
    x = 365.42

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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.