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Finding the Fourth Proportional to 806.42, 1,209.64 and 286.41

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Solution

The fourth proportional to 806.42, 1,209.64 and 286.41 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.42 : 1,209.64 = 286.41 : x
  2. Step 2: Convert to fraction form
    806.42/1,209.64 = 286.41/x
  3. Step 3: Cross multiply
    806.42x = 1,209.64 × 286.41
  4. Step 4: Simplify right side
    806.42x = 346,452.99
  5. Step 5: Solve for x
    x = 346,452.99/806.42
  6. Step 6: Final answer
    x = 429.62

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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.