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Finding the Fourth Proportional to 534.32, 800.36 and 273.53

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Solution

The fourth proportional to 534.32, 800.36 and 273.53 is: 409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 800.36 = 273.53 : x
  2. Step 2: Convert to fraction form
    534.32/800.36 = 273.53/x
  3. Step 3: Cross multiply
    534.32x = 800.36 × 273.53
  4. Step 4: Simplify right side
    534.32x = 218,920.59
  5. Step 5: Solve for x
    x = 218,920.59/534.32
  6. Step 6: Final answer
    x = 409.72

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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.