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Finding the Fourth Proportional to 878.48, 1,316.93 and 330.68

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Solution

The fourth proportional to 878.48, 1,316.93 and 330.68 is: 495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.48 : 1,316.93 = 330.68 : x
  2. Step 2: Convert to fraction form
    878.48/1,316.93 = 330.68/x
  3. Step 3: Cross multiply
    878.48x = 1,316.93 × 330.68
  4. Step 4: Simplify right side
    878.48x = 435,475.83
  5. Step 5: Solve for x
    x = 435,475.83/878.48
  6. Step 6: Final answer
    x = 495.72

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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.