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Finding the Fourth Proportional to 808.27, 1,212.45 and 260.30

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Solution

The fourth proportional to 808.27, 1,212.45 and 260.30 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.27 : 1,212.45 = 260.30 : x
  2. Step 2: Convert to fraction form
    808.27/1,212.45 = 260.30/x
  3. Step 3: Cross multiply
    808.27x = 1,212.45 × 260.30
  4. Step 4: Simplify right side
    808.27x = 315,600.74
  5. Step 5: Solve for x
    x = 315,600.74/808.27
  6. Step 6: Final answer
    x = 390.46

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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.