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Finding the Fourth Proportional to 601.76, 902.49 and 217.01

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Solution

The fourth proportional to 601.76, 902.49 and 217.01 is: 325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.76 : 902.49 = 217.01 : x
  2. Step 2: Convert to fraction form
    601.76/902.49 = 217.01/x
  3. Step 3: Cross multiply
    601.76x = 902.49 × 217.01
  4. Step 4: Simplify right side
    601.76x = 195,844.84
  5. Step 5: Solve for x
    x = 195,844.84/601.76
  6. Step 6: Final answer
    x = 325.46

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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.