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Finding the Fourth Proportional to 534.33, 800.94 and 339.47

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Solution

The fourth proportional to 534.33, 800.94 and 339.47 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.33 : 800.94 = 339.47 : x
  2. Step 2: Convert to fraction form
    534.33/800.94 = 339.47/x
  3. Step 3: Cross multiply
    534.33x = 800.94 × 339.47
  4. Step 4: Simplify right side
    534.33x = 271,892.25
  5. Step 5: Solve for x
    x = 271,892.25/534.33
  6. Step 6: Final answer
    x = 508.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.