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Finding the Fourth Proportional to 371.47, 512.63 and 214.11

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Solution

The fourth proportional to 371.47, 512.63 and 214.11 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.47 : 512.63 = 214.11 : x
  2. Step 2: Convert to fraction form
    371.47/512.63 = 214.11/x
  3. Step 3: Cross multiply
    371.47x = 512.63 × 214.11
  4. Step 4: Simplify right side
    371.47x = 109,756.65
  5. Step 5: Solve for x
    x = 109,756.65/371.47
  6. Step 6: Final answer
    x = 295.47

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Why These Related Problems?

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