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Finding the Fourth Proportional to 687.93, 949.41 and 408.26

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Solution

The fourth proportional to 687.93, 949.41 and 408.26 is: 563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.93 : 949.41 = 408.26 : x
  2. Step 2: Convert to fraction form
    687.93/949.41 = 408.26/x
  3. Step 3: Cross multiply
    687.93x = 949.41 × 408.26
  4. Step 4: Simplify right side
    687.93x = 387,601.38
  5. Step 5: Solve for x
    x = 387,601.38/687.93
  6. Step 6: Final answer
    x = 563.43

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1.5x scale

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.