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Finding the Fourth Proportional to 372.25, 513.35 and 289.33

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Solution

The fourth proportional to 372.25, 513.35 and 289.33 is: 398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.25 : 513.35 = 289.33 : x
  2. Step 2: Convert to fraction form
    372.25/513.35 = 289.33/x
  3. Step 3: Cross multiply
    372.25x = 513.35 × 289.33
  4. Step 4: Simplify right side
    372.25x = 148,525.91
  5. Step 5: Solve for x
    x = 148,525.91/372.25
  6. Step 6: Final answer
    x = 398.99

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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.