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Finding the Fourth Proportional to 878.12, 1,317.38 and 293.07

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Solution

The fourth proportional to 878.12, 1,317.38 and 293.07 is: 439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.12 : 1,317.38 = 293.07 : x
  2. Step 2: Convert to fraction form
    878.12/1,317.38 = 293.07/x
  3. Step 3: Cross multiply
    878.12x = 1,317.38 × 293.07
  4. Step 4: Simplify right side
    878.12x = 386,083.09
  5. Step 5: Solve for x
    x = 386,083.09/878.12
  6. Step 6: Final answer
    x = 439.67

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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.