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Finding the Fourth Proportional to 688.16, 949.64 and 408.33

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Solution

The fourth proportional to 688.16, 949.64 and 408.33 is: 563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.16 : 949.64 = 408.33 : x
  2. Step 2: Convert to fraction form
    688.16/949.64 = 408.33/x
  3. Step 3: Cross multiply
    688.16x = 949.64 × 408.33
  4. Step 4: Simplify right side
    688.16x = 387,763.70
  5. Step 5: Solve for x
    x = 387,763.70/688.16
  6. Step 6: Final answer
    x = 563.48

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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.