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Finding the Fourth Proportional to 617.50, 926.15 and 270.77

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Solution

The fourth proportional to 617.50, 926.15 and 270.77 is: 406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 926.15 = 270.77 : x
  2. Step 2: Convert to fraction form
    617.50/926.15 = 270.77/x
  3. Step 3: Cross multiply
    617.50x = 926.15 × 270.77
  4. Step 4: Simplify right side
    617.50x = 250,773.64
  5. Step 5: Solve for x
    x = 250,773.64/617.50
  6. Step 6: Final answer
    x = 406.11

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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.