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Finding the Fourth Proportional to 808.29, 1,212.32 and 260.40

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Solution

The fourth proportional to 808.29, 1,212.32 and 260.40 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.29 : 1,212.32 = 260.40 : x
  2. Step 2: Convert to fraction form
    808.29/1,212.32 = 260.40/x
  3. Step 3: Cross multiply
    808.29x = 1,212.32 × 260.40
  4. Step 4: Simplify right side
    808.29x = 315,688.13
  5. Step 5: Solve for x
    x = 315,688.13/808.29
  6. Step 6: Final answer
    x = 390.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.