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Finding the Fourth Proportional to 412.46, 617.72 and 216.93

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Solution

The fourth proportional to 412.46, 617.72 and 216.93 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 617.72 = 216.93 : x
  2. Step 2: Convert to fraction form
    412.46/617.72 = 216.93/x
  3. Step 3: Cross multiply
    412.46x = 617.72 × 216.93
  4. Step 4: Simplify right side
    412.46x = 134,000.91
  5. Step 5: Solve for x
    x = 134,000.91/412.46
  6. Step 6: Final answer
    x = 324.89

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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.