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Finding the Fourth Proportional to 371.66, 513.28 and 289.74

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Solution

The fourth proportional to 371.66, 513.28 and 289.74 is: 400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.66 : 513.28 = 289.74 : x
  2. Step 2: Convert to fraction form
    371.66/513.28 = 289.74/x
  3. Step 3: Cross multiply
    371.66x = 513.28 × 289.74
  4. Step 4: Simplify right side
    371.66x = 148,717.75
  5. Step 5: Solve for x
    x = 148,717.75/371.66
  6. Step 6: Final answer
    x = 400.14

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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.