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Finding the Fourth Proportional to 687.86, 949.24 and 377.36

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Solution

The fourth proportional to 687.86, 949.24 and 377.36 is: 520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.86 : 949.24 = 377.36 : x
  2. Step 2: Convert to fraction form
    687.86/949.24 = 377.36/x
  3. Step 3: Cross multiply
    687.86x = 949.24 × 377.36
  4. Step 4: Simplify right side
    687.86x = 358,205.21
  5. Step 5: Solve for x
    x = 358,205.21/687.86
  6. Step 6: Final answer
    x = 520.75

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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.