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Finding the Fourth Proportional to 617.50, 926.25 and 206.70

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Solution

The fourth proportional to 617.50, 926.25 and 206.70 is: 310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 926.25 = 206.70 : x
  2. Step 2: Convert to fraction form
    617.50/926.25 = 206.70/x
  3. Step 3: Cross multiply
    617.50x = 926.25 × 206.70
  4. Step 4: Simplify right side
    617.50x = 191,455.88
  5. Step 5: Solve for x
    x = 191,455.88/617.50
  6. Step 6: Final answer
    x = 310.05

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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.