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Finding the Fourth Proportional to 689.81, 952.13 and 406.48

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Solution

The fourth proportional to 689.81, 952.13 and 406.48 is: 561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.81 : 952.13 = 406.48 : x
  2. Step 2: Convert to fraction form
    689.81/952.13 = 406.48/x
  3. Step 3: Cross multiply
    689.81x = 952.13 × 406.48
  4. Step 4: Simplify right side
    689.81x = 387,015.01
  5. Step 5: Solve for x
    x = 387,015.01/689.81
  6. Step 6: Final answer
    x = 561.05

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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.