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Finding the Fourth Proportional to 491.85, 738.06 and 217.93

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Solution

The fourth proportional to 491.85, 738.06 and 217.93 is: 327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.85 : 738.06 = 217.93 : x
  2. Step 2: Convert to fraction form
    491.85/738.06 = 217.93/x
  3. Step 3: Cross multiply
    491.85x = 738.06 × 217.93
  4. Step 4: Simplify right side
    491.85x = 160,845.42
  5. Step 5: Solve for x
    x = 160,845.42/491.85
  6. Step 6: Final answer
    x = 327.02

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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.