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Finding the Fourth Proportional to 491.01, 735.84 and 217.41

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Solution

The fourth proportional to 491.01, 735.84 and 217.41 is: 325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.01 : 735.84 = 217.41 : x
  2. Step 2: Convert to fraction form
    491.01/735.84 = 217.41/x
  3. Step 3: Cross multiply
    491.01x = 735.84 × 217.41
  4. Step 4: Simplify right side
    491.01x = 159,978.97
  5. Step 5: Solve for x
    x = 159,978.97/491.01
  6. Step 6: Final answer
    x = 325.82

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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.