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Finding the Fourth Proportional to 808.10, 1,211.07 and 320.88

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Solution

The fourth proportional to 808.10, 1,211.07 and 320.88 is: 480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.10 : 1,211.07 = 320.88 : x
  2. Step 2: Convert to fraction form
    808.10/1,211.07 = 320.88/x
  3. Step 3: Cross multiply
    808.10x = 1,211.07 × 320.88
  4. Step 4: Simplify right side
    808.10x = 388,608.14
  5. Step 5: Solve for x
    x = 388,608.14/808.10
  6. Step 6: Final answer
    x = 480.89

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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.