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Finding the Fourth Proportional to 371.10, 511.75 and 288.18

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Solution

The fourth proportional to 371.10, 511.75 and 288.18 is: 397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.10 : 511.75 = 288.18 : x
  2. Step 2: Convert to fraction form
    371.10/511.75 = 288.18/x
  3. Step 3: Cross multiply
    371.10x = 511.75 × 288.18
  4. Step 4: Simplify right side
    371.10x = 147,472.12
  5. Step 5: Solve for x
    x = 147,472.12/371.10
  6. Step 6: Final answer
    x = 397.39

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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.