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Finding the Fourth Proportional to 372.15, 512.82 and 289.26

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Solution

The fourth proportional to 372.15, 512.82 and 289.26 is: 398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.15 : 512.82 = 289.26 : x
  2. Step 2: Convert to fraction form
    372.15/512.82 = 289.26/x
  3. Step 3: Cross multiply
    372.15x = 512.82 × 289.26
  4. Step 4: Simplify right side
    372.15x = 148,338.31
  5. Step 5: Solve for x
    x = 148,338.31/372.15
  6. Step 6: Final answer
    x = 398.60

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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.