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Finding the Fourth Proportional to 539.15, 807.33 and 295.38

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Solution

The fourth proportional to 539.15, 807.33 and 295.38 is: 442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.15 : 807.33 = 295.38 : x
  2. Step 2: Convert to fraction form
    539.15/807.33 = 295.38/x
  3. Step 3: Cross multiply
    539.15x = 807.33 × 295.38
  4. Step 4: Simplify right side
    539.15x = 238,469.14
  5. Step 5: Solve for x
    x = 238,469.14/539.15
  6. Step 6: Final answer
    x = 442.31

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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.