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Finding the Fourth Proportional to 491.94, 738.10 and 218.24

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Solution

The fourth proportional to 491.94, 738.10 and 218.24 is: 327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.94 : 738.10 = 218.24 : x
  2. Step 2: Convert to fraction form
    491.94/738.10 = 218.24/x
  3. Step 3: Cross multiply
    491.94x = 738.10 × 218.24
  4. Step 4: Simplify right side
    491.94x = 161,082.94
  5. Step 5: Solve for x
    x = 161,082.94/491.94
  6. Step 6: Final answer
    x = 327.44

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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.