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Finding the Fourth Proportional to 690.02, 952.25 and 395.22

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Solution

The fourth proportional to 690.02, 952.25 and 395.22 is: 545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.02 : 952.25 = 395.22 : x
  2. Step 2: Convert to fraction form
    690.02/952.25 = 395.22/x
  3. Step 3: Cross multiply
    690.02x = 952.25 × 395.22
  4. Step 4: Simplify right side
    690.02x = 376,346.27
  5. Step 5: Solve for x
    x = 376,346.27/690.02
  6. Step 6: Final answer
    x = 545.42

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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.