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Finding the Fourth Proportional to 876.57, 1,314.83 and 218.45

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Solution

The fourth proportional to 876.57, 1,314.83 and 218.45 is: 327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.57 : 1,314.83 = 218.45 : x
  2. Step 2: Convert to fraction form
    876.57/1,314.83 = 218.45/x
  3. Step 3: Cross multiply
    876.57x = 1,314.83 × 218.45
  4. Step 4: Simplify right side
    876.57x = 287,219.82
  5. Step 5: Solve for x
    x = 287,219.82/876.57
  6. Step 6: Final answer
    x = 327.66

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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.