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Finding the Fourth Proportional to 371.65, 513.14 and 332.19

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Solution

The fourth proportional to 371.65, 513.14 and 332.19 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.65 : 513.14 = 332.19 : x
  2. Step 2: Convert to fraction form
    371.65/513.14 = 332.19/x
  3. Step 3: Cross multiply
    371.65x = 513.14 × 332.19
  4. Step 4: Simplify right side
    371.65x = 170,457.59
  5. Step 5: Solve for x
    x = 170,457.59/371.65
  6. Step 6: Final answer
    x = 458.65

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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.