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Finding the Fourth Proportional to 808.99, 1,214.19 and 322.38

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Solution

The fourth proportional to 808.99, 1,214.19 and 322.38 is: 483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.99 : 1,214.19 = 322.38 : x
  2. Step 2: Convert to fraction form
    808.99/1,214.19 = 322.38/x
  3. Step 3: Cross multiply
    808.99x = 1,214.19 × 322.38
  4. Step 4: Simplify right side
    808.99x = 391,430.57
  5. Step 5: Solve for x
    x = 391,430.57/808.99
  6. Step 6: Final answer
    x = 483.85

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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.