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Finding the Fourth Proportional to 534.06, 800.58 and 273.85

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Solution

The fourth proportional to 534.06, 800.58 and 273.85 is: 410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.06 : 800.58 = 273.85 : x
  2. Step 2: Convert to fraction form
    534.06/800.58 = 273.85/x
  3. Step 3: Cross multiply
    534.06x = 800.58 × 273.85
  4. Step 4: Simplify right side
    534.06x = 219,237.86
  5. Step 5: Solve for x
    x = 219,237.86/534.06
  6. Step 6: Final answer
    x = 410.51

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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.