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Finding the Fourth Proportional to 690.09, 952.31 and 395.36

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Solution

The fourth proportional to 690.09, 952.31 and 395.36 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.09 : 952.31 = 395.36 : x
  2. Step 2: Convert to fraction form
    690.09/952.31 = 395.36/x
  3. Step 3: Cross multiply
    690.09x = 952.31 × 395.36
  4. Step 4: Simplify right side
    690.09x = 376,500.52
  5. Step 5: Solve for x
    x = 376,500.52/690.09
  6. Step 6: Final answer
    x = 545.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.