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Finding the Fourth Proportional to 878.05, 1,316.13 and 357.97

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Solution

The fourth proportional to 878.05, 1,316.13 and 357.97 is: 536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.05 : 1,316.13 = 357.97 : x
  2. Step 2: Convert to fraction form
    878.05/1,316.13 = 357.97/x
  3. Step 3: Cross multiply
    878.05x = 1,316.13 × 357.97
  4. Step 4: Simplify right side
    878.05x = 471,135.06
  5. Step 5: Solve for x
    x = 471,135.06/878.05
  6. Step 6: Final answer
    x = 536.57

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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.