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Finding the Fourth Proportional to 371.70, 511.86 and 346.14

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Solution

The fourth proportional to 371.70, 511.86 and 346.14 is: 476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 511.86 = 346.14 : x
  2. Step 2: Convert to fraction form
    371.70/511.86 = 346.14/x
  3. Step 3: Cross multiply
    371.70x = 511.86 × 346.14
  4. Step 4: Simplify right side
    371.70x = 177,175.22
  5. Step 5: Solve for x
    x = 177,175.22/371.70
  6. Step 6: Final answer
    x = 476.66

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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.