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Finding the Fourth Proportional to 601.77, 902.82 and 236.66

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Solution

The fourth proportional to 601.77, 902.82 and 236.66 is: 355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.77 : 902.82 = 236.66 : x
  2. Step 2: Convert to fraction form
    601.77/902.82 = 236.66/x
  3. Step 3: Cross multiply
    601.77x = 902.82 × 236.66
  4. Step 4: Simplify right side
    601.77x = 213,661.38
  5. Step 5: Solve for x
    x = 213,661.38/601.77
  6. Step 6: Final answer
    x = 355.05

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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.