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Finding the Fourth Proportional to 617.54, 925.70 and 206.42

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Solution

The fourth proportional to 617.54, 925.70 and 206.42 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.54 : 925.70 = 206.42 : x
  2. Step 2: Convert to fraction form
    617.54/925.70 = 206.42/x
  3. Step 3: Cross multiply
    617.54x = 925.70 × 206.42
  4. Step 4: Simplify right side
    617.54x = 191,082.99
  5. Step 5: Solve for x
    x = 191,082.99/617.54
  6. Step 6: Final answer
    x = 309.43

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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.