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Finding the Fourth Proportional to 808.82, 1,212.57 and 322.21

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Solution

The fourth proportional to 808.82, 1,212.57 and 322.21 is: 483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.82 : 1,212.57 = 322.21 : x
  2. Step 2: Convert to fraction form
    808.82/1,212.57 = 322.21/x
  3. Step 3: Cross multiply
    808.82x = 1,212.57 × 322.21
  4. Step 4: Simplify right side
    808.82x = 390,703.70
  5. Step 5: Solve for x
    x = 390,703.70/808.82
  6. Step 6: Final answer
    x = 483.05

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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.