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Finding the Fourth Proportional to 539.39, 808.61 and 319.47

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Solution

The fourth proportional to 539.39, 808.61 and 319.47 is: 478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.39 : 808.61 = 319.47 : x
  2. Step 2: Convert to fraction form
    539.39/808.61 = 319.47/x
  3. Step 3: Cross multiply
    539.39x = 808.61 × 319.47
  4. Step 4: Simplify right side
    539.39x = 258,328.59
  5. Step 5: Solve for x
    x = 258,328.59/539.39
  6. Step 6: Final answer
    x = 478.93

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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.