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Finding the Fourth Proportional to 602.76, 903.96 and 217.92

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Solution

The fourth proportional to 602.76, 903.96 and 217.92 is: 326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 903.96 = 217.92 : x
  2. Step 2: Convert to fraction form
    602.76/903.96 = 217.92/x
  3. Step 3: Cross multiply
    602.76x = 903.96 × 217.92
  4. Step 4: Simplify right side
    602.76x = 196,990.96
  5. Step 5: Solve for x
    x = 196,990.96/602.76
  6. Step 6: Final answer
    x = 326.81

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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.