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Finding the Fourth Proportional to 412.52, 617.12 and 344.16

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Solution

The fourth proportional to 412.52, 617.12 and 344.16 is: 514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 617.12 = 344.16 : x
  2. Step 2: Convert to fraction form
    412.52/617.12 = 344.16/x
  3. Step 3: Cross multiply
    412.52x = 617.12 × 344.16
  4. Step 4: Simplify right side
    412.52x = 212,388.02
  5. Step 5: Solve for x
    x = 212,388.02/412.52
  6. Step 6: Final answer
    x = 514.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.