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Finding the Fourth Proportional to 491.09, 736.33 and 209.32

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Solution

The fourth proportional to 491.09, 736.33 and 209.32 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.09 : 736.33 = 209.32 : x
  2. Step 2: Convert to fraction form
    491.09/736.33 = 209.32/x
  3. Step 3: Cross multiply
    491.09x = 736.33 × 209.32
  4. Step 4: Simplify right side
    491.09x = 154,128.07
  5. Step 5: Solve for x
    x = 154,128.07/491.09
  6. Step 6: Final answer
    x = 313.85

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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.