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Finding the Fourth Proportional to 412.29, 568.08 and 342.09

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Solution

The fourth proportional to 412.29, 568.08 and 342.09 is: 471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 568.08 = 342.09 : x
  2. Step 2: Convert to fraction form
    412.29/568.08 = 342.09/x
  3. Step 3: Cross multiply
    412.29x = 568.08 × 342.09
  4. Step 4: Simplify right side
    412.29x = 194,334.49
  5. Step 5: Solve for x
    x = 194,334.49/412.29
  6. Step 6: Final answer
    x = 471.35

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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.