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Finding the Fourth Proportional to 808.83, 1,212.37 and 397.15

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Solution

The fourth proportional to 808.83, 1,212.37 and 397.15 is: 595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.83 : 1,212.37 = 397.15 : x
  2. Step 2: Convert to fraction form
    808.83/1,212.37 = 397.15/x
  3. Step 3: Cross multiply
    808.83x = 1,212.37 × 397.15
  4. Step 4: Simplify right side
    808.83x = 481,488.72
  5. Step 5: Solve for x
    x = 481,488.72/808.83
  6. Step 6: Final answer
    x = 595.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.