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Finding the Fourth Proportional to 371.02, 511.72 and 238.10

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Solution

The fourth proportional to 371.02, 511.72 and 238.10 is: 328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.02 : 511.72 = 238.10 : x
  2. Step 2: Convert to fraction form
    371.02/511.72 = 238.10/x
  3. Step 3: Cross multiply
    371.02x = 511.72 × 238.10
  4. Step 4: Simplify right side
    371.02x = 121,837.38
  5. Step 5: Solve for x
    x = 121,837.38/371.02
  6. Step 6: Final answer
    x = 328.39

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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.