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Finding the Fourth Proportional to 806.21, 1,209.51 and 258.35

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Solution

The fourth proportional to 806.21, 1,209.51 and 258.35 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.21 : 1,209.51 = 258.35 : x
  2. Step 2: Convert to fraction form
    806.21/1,209.51 = 258.35/x
  3. Step 3: Cross multiply
    806.21x = 1,209.51 × 258.35
  4. Step 4: Simplify right side
    806.21x = 312,475.62
  5. Step 5: Solve for x
    x = 312,475.62/806.21
  6. Step 6: Final answer
    x = 387.59

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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.