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Finding the Fourth Proportional to 532.89, 798.82 and 259.04

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Solution

The fourth proportional to 532.89, 798.82 and 259.04 is: 388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.89 : 798.82 = 259.04 : x
  2. Step 2: Convert to fraction form
    532.89/798.82 = 259.04/x
  3. Step 3: Cross multiply
    532.89x = 798.82 × 259.04
  4. Step 4: Simplify right side
    532.89x = 206,926.33
  5. Step 5: Solve for x
    x = 206,926.33/532.89
  6. Step 6: Final answer
    x = 388.31

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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.