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Finding the Fourth Proportional to 806.24, 1,209.29 and 258.82

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Solution

The fourth proportional to 806.24, 1,209.29 and 258.82 is: 388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.24 : 1,209.29 = 258.82 : x
  2. Step 2: Convert to fraction form
    806.24/1,209.29 = 258.82/x
  3. Step 3: Cross multiply
    806.24x = 1,209.29 × 258.82
  4. Step 4: Simplify right side
    806.24x = 312,984.12
  5. Step 5: Solve for x
    x = 312,984.12/806.24
  6. Step 6: Final answer
    x = 388.20

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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.