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Finding the Fourth Proportional to 808.23, 1,211.82 and 418.38

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Solution

The fourth proportional to 808.23, 1,211.82 and 418.38 is: 627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.23 : 1,211.82 = 418.38 : x
  2. Step 2: Convert to fraction form
    808.23/1,211.82 = 418.38/x
  3. Step 3: Cross multiply
    808.23x = 1,211.82 × 418.38
  4. Step 4: Simplify right side
    808.23x = 507,001.25
  5. Step 5: Solve for x
    x = 507,001.25/808.23
  6. Step 6: Final answer
    x = 627.30

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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.