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Finding the Fourth Proportional to 879.49, 1,319.12 and 230.19

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Solution

The fourth proportional to 879.49, 1,319.12 and 230.19 is: 345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.49 : 1,319.12 = 230.19 : x
  2. Step 2: Convert to fraction form
    879.49/1,319.12 = 230.19/x
  3. Step 3: Cross multiply
    879.49x = 1,319.12 × 230.19
  4. Step 4: Simplify right side
    879.49x = 303,648.23
  5. Step 5: Solve for x
    x = 303,648.23/879.49
  6. Step 6: Final answer
    x = 345.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.