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Finding the Fourth Proportional to 617.87, 926.92 and 207.05

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Solution

The fourth proportional to 617.87, 926.92 and 207.05 is: 310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.87 : 926.92 = 207.05 : x
  2. Step 2: Convert to fraction form
    617.87/926.92 = 207.05/x
  3. Step 3: Cross multiply
    617.87x = 926.92 × 207.05
  4. Step 4: Simplify right side
    617.87x = 191,918.79
  5. Step 5: Solve for x
    x = 191,918.79/617.87
  6. Step 6: Final answer
    x = 310.61

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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.