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Finding the Fourth Proportional to 689.94, 952.00 and 395.23

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Solution

The fourth proportional to 689.94, 952.00 and 395.23 is: 545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.94 : 952.00 = 395.23 : x
  2. Step 2: Convert to fraction form
    689.94/952.00 = 395.23/x
  3. Step 3: Cross multiply
    689.94x = 952.00 × 395.23
  4. Step 4: Simplify right side
    689.94x = 376,252.22
  5. Step 5: Solve for x
    x = 376,252.22/689.94
  6. Step 6: Final answer
    x = 545.34

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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.