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Finding the Fourth Proportional to 412.35, 617.36 and 229.07

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Solution

The fourth proportional to 412.35, 617.36 and 229.07 is: 342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 617.36 = 229.07 : x
  2. Step 2: Convert to fraction form
    412.35/617.36 = 229.07/x
  3. Step 3: Cross multiply
    412.35x = 617.36 × 229.07
  4. Step 4: Simplify right side
    412.35x = 141,414.42
  5. Step 5: Solve for x
    x = 141,414.42/412.35
  6. Step 6: Final answer
    x = 342.95

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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.