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Finding the Fourth Proportional to 617.37, 926.06 and 206.61

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Solution

The fourth proportional to 617.37, 926.06 and 206.61 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 926.06 = 206.61 : x
  2. Step 2: Convert to fraction form
    617.37/926.06 = 206.61/x
  3. Step 3: Cross multiply
    617.37x = 926.06 × 206.61
  4. Step 4: Simplify right side
    617.37x = 191,332.22
  5. Step 5: Solve for x
    x = 191,332.22/617.37
  6. Step 6: Final answer
    x = 309.92

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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.