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Finding the Fourth Proportional to 690.44, 952.76 and 406.97

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Solution

The fourth proportional to 690.44, 952.76 and 406.97 is: 561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.44 : 952.76 = 406.97 : x
  2. Step 2: Convert to fraction form
    690.44/952.76 = 406.97/x
  3. Step 3: Cross multiply
    690.44x = 952.76 × 406.97
  4. Step 4: Simplify right side
    690.44x = 387,749.92
  5. Step 5: Solve for x
    x = 387,749.92/690.44
  6. Step 6: Final answer
    x = 561.60

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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.