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Finding the Fourth Proportional to 491.06, 736.65 and 217.38

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Solution

The fourth proportional to 491.06, 736.65 and 217.38 is: 326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 736.65 = 217.38 : x
  2. Step 2: Convert to fraction form
    491.06/736.65 = 217.38/x
  3. Step 3: Cross multiply
    491.06x = 736.65 × 217.38
  4. Step 4: Simplify right side
    491.06x = 160,132.98
  5. Step 5: Solve for x
    x = 160,132.98/491.06
  6. Step 6: Final answer
    x = 326.10

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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.