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Finding the Fourth Proportional to 601.85, 908.42 and 601.85

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Solution

The fourth proportional to 601.85, 908.42 and 601.85 is: 908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.85 : 908.42 = 601.85 : x
  2. Step 2: Convert to fraction form
    601.85/908.42 = 601.85/x
  3. Step 3: Cross multiply
    601.85x = 908.42 × 601.85
  4. Step 4: Simplify right side
    601.85x = 546,732.58
  5. Step 5: Solve for x
    x = 546,732.58/601.85
  6. Step 6: Final answer
    x = 908.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.