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Finding the Fourth Proportional to 539.19, 808.38 and 401.76

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Solution

The fourth proportional to 539.19, 808.38 and 401.76 is: 602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.19 : 808.38 = 401.76 : x
  2. Step 2: Convert to fraction form
    539.19/808.38 = 401.76/x
  3. Step 3: Cross multiply
    539.19x = 808.38 × 401.76
  4. Step 4: Simplify right side
    539.19x = 324,774.75
  5. Step 5: Solve for x
    x = 324,774.75/539.19
  6. Step 6: Final answer
    x = 602.34

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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.