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Finding the Fourth Proportional to 617.67, 926.56 and 206.66

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Solution

The fourth proportional to 617.67, 926.56 and 206.66 is: 310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 926.56 = 206.66 : x
  2. Step 2: Convert to fraction form
    617.67/926.56 = 206.66/x
  3. Step 3: Cross multiply
    617.67x = 926.56 × 206.66
  4. Step 4: Simplify right side
    617.67x = 191,482.89
  5. Step 5: Solve for x
    x = 191,482.89/617.67
  6. Step 6: Final answer
    x = 310.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.