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Finding the Fourth Proportional to 292.57, 439.86 and 273.53

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Solution

The fourth proportional to 292.57, 439.86 and 273.53 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.57 : 439.86 = 273.53 : x
  2. Step 2: Convert to fraction form
    292.57/439.86 = 273.53/x
  3. Step 3: Cross multiply
    292.57x = 439.86 × 273.53
  4. Step 4: Simplify right side
    292.57x = 120,317.03
  5. Step 5: Solve for x
    x = 120,317.03/292.57
  6. Step 6: Final answer
    x = 411.25

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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.