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Finding the Fourth Proportional to 539.62, 808.82 and 265.13

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Solution

The fourth proportional to 539.62, 808.82 and 265.13 is: 397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.62 : 808.82 = 265.13 : x
  2. Step 2: Convert to fraction form
    539.62/808.82 = 265.13/x
  3. Step 3: Cross multiply
    539.62x = 808.82 × 265.13
  4. Step 4: Simplify right side
    539.62x = 214,441.10
  5. Step 5: Solve for x
    x = 214,441.10/539.62
  6. Step 6: Final answer
    x = 397.39

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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.