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Finding the Fourth Proportional to 539.24, 808.16 and 291.83

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Solution

The fourth proportional to 539.24, 808.16 and 291.83 is: 437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 808.16 = 291.83 : x
  2. Step 2: Convert to fraction form
    539.24/808.16 = 291.83/x
  3. Step 3: Cross multiply
    539.24x = 808.16 × 291.83
  4. Step 4: Simplify right side
    539.24x = 235,839.83
  5. Step 5: Solve for x
    x = 235,839.83/539.24
  6. Step 6: Final answer
    x = 437.36

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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.