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Finding the Fourth Proportional to 601.67, 902.41 and 216.92

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Solution

The fourth proportional to 601.67, 902.41 and 216.92 is: 325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.67 : 902.41 = 216.92 : x
  2. Step 2: Convert to fraction form
    601.67/902.41 = 216.92/x
  3. Step 3: Cross multiply
    601.67x = 902.41 × 216.92
  4. Step 4: Simplify right side
    601.67x = 195,750.78
  5. Step 5: Solve for x
    x = 195,750.78/601.67
  6. Step 6: Final answer
    x = 325.35

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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.