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Finding the Fourth Proportional to 878.34, 1,317.76 and 330.56

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Solution

The fourth proportional to 878.34, 1,317.76 and 330.56 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.34 : 1,317.76 = 330.56 : x
  2. Step 2: Convert to fraction form
    878.34/1,317.76 = 330.56/x
  3. Step 3: Cross multiply
    878.34x = 1,317.76 × 330.56
  4. Step 4: Simplify right side
    878.34x = 435,598.75
  5. Step 5: Solve for x
    x = 435,598.75/878.34
  6. Step 6: Final answer
    x = 495.93

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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.