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Finding the Fourth Proportional to 601.66, 902.46 and 216.82

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Solution

The fourth proportional to 601.66, 902.46 and 216.82 is: 325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.66 : 902.46 = 216.82 : x
  2. Step 2: Convert to fraction form
    601.66/902.46 = 216.82/x
  3. Step 3: Cross multiply
    601.66x = 902.46 × 216.82
  4. Step 4: Simplify right side
    601.66x = 195,671.38
  5. Step 5: Solve for x
    x = 195,671.38/601.66
  6. Step 6: Final answer
    x = 325.22

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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.