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Finding the Fourth Proportional to 491.52, 736.80 and 217.60

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Solution

The fourth proportional to 491.52, 736.80 and 217.60 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 736.80 = 217.60 : x
  2. Step 2: Convert to fraction form
    491.52/736.80 = 217.60/x
  3. Step 3: Cross multiply
    491.52x = 736.80 × 217.60
  4. Step 4: Simplify right side
    491.52x = 160,327.68
  5. Step 5: Solve for x
    x = 160,327.68/491.52
  6. Step 6: Final answer
    x = 326.19

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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.