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Finding the Fourth Proportional to 601.92, 902.76 and 217.08

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Solution

The fourth proportional to 601.92, 902.76 and 217.08 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 902.76 = 217.08 : x
  2. Step 2: Convert to fraction form
    601.92/902.76 = 217.08/x
  3. Step 3: Cross multiply
    601.92x = 902.76 × 217.08
  4. Step 4: Simplify right side
    601.92x = 195,971.14
  5. Step 5: Solve for x
    x = 195,971.14/601.92
  6. Step 6: Final answer
    x = 325.58

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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.