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Finding the Fourth Proportional to 491.76, 737.79 and 217.80

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Solution

The fourth proportional to 491.76, 737.79 and 217.80 is: 326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.76 : 737.79 = 217.80 : x
  2. Step 2: Convert to fraction form
    491.76/737.79 = 217.80/x
  3. Step 3: Cross multiply
    491.76x = 737.79 × 217.80
  4. Step 4: Simplify right side
    491.76x = 160,690.66
  5. Step 5: Solve for x
    x = 160,690.66/491.76
  6. Step 6: Final answer
    x = 326.77

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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.