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Finding the Fourth Proportional to 617.38, 926.51 and 270.54

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Solution

The fourth proportional to 617.38, 926.51 and 270.54 is: 406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.38 : 926.51 = 270.54 : x
  2. Step 2: Convert to fraction form
    617.38/926.51 = 270.54/x
  3. Step 3: Cross multiply
    617.38x = 926.51 × 270.54
  4. Step 4: Simplify right side
    617.38x = 250,656.66
  5. Step 5: Solve for x
    x = 250,656.66/617.38
  6. Step 6: Final answer
    x = 406.00

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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.