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Finding the Fourth Proportional to 409.63, 610.99 and 343.86

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Solution

The fourth proportional to 409.63, 610.99 and 343.86 is: 512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 610.99 = 343.86 : x
  2. Step 2: Convert to fraction form
    409.63/610.99 = 343.86/x
  3. Step 3: Cross multiply
    409.63x = 610.99 × 343.86
  4. Step 4: Simplify right side
    409.63x = 210,095.02
  5. Step 5: Solve for x
    x = 210,095.02/409.63
  6. Step 6: Final answer
    x = 512.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.