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Finding the Fourth Proportional to 371.93, 513.25 and 214.58

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Solution

The fourth proportional to 371.93, 513.25 and 214.58 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.93 : 513.25 = 214.58 : x
  2. Step 2: Convert to fraction form
    371.93/513.25 = 214.58/x
  3. Step 3: Cross multiply
    371.93x = 513.25 × 214.58
  4. Step 4: Simplify right side
    371.93x = 110,133.93
  5. Step 5: Solve for x
    x = 110,133.93/371.93
  6. Step 6: Final answer
    x = 296.12

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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.