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Finding the Fourth Proportional to 687.76, 949.08 and 408.02

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Solution

The fourth proportional to 687.76, 949.08 and 408.02 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.76 : 949.08 = 408.02 : x
  2. Step 2: Convert to fraction form
    687.76/949.08 = 408.02/x
  3. Step 3: Cross multiply
    687.76x = 949.08 × 408.02
  4. Step 4: Simplify right side
    687.76x = 387,245.74
  5. Step 5: Solve for x
    x = 387,245.74/687.76
  6. Step 6: Final answer
    x = 563.06

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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.