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Finding the Fourth Proportional to 690.08, 952.33 and 395.33

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Solution

The fourth proportional to 690.08, 952.33 and 395.33 is: 545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 952.33 = 395.33 : x
  2. Step 2: Convert to fraction form
    690.08/952.33 = 395.33/x
  3. Step 3: Cross multiply
    690.08x = 952.33 × 395.33
  4. Step 4: Simplify right side
    690.08x = 376,486.08
  5. Step 5: Solve for x
    x = 376,486.08/690.08
  6. Step 6: Final answer
    x = 545.57

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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.