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Finding the Fourth Proportional to 687.87, 949.23 and 393.12

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Solution

The fourth proportional to 687.87, 949.23 and 393.12 is: 542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.87 : 949.23 = 393.12 : x
  2. Step 2: Convert to fraction form
    687.87/949.23 = 393.12/x
  3. Step 3: Cross multiply
    687.87x = 949.23 × 393.12
  4. Step 4: Simplify right side
    687.87x = 373,161.30
  5. Step 5: Solve for x
    x = 373,161.30/687.87
  6. Step 6: Final answer
    x = 542.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.