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Finding the Fourth Proportional to 371.76, 511.84 and 306.16

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Solution

The fourth proportional to 371.76, 511.84 and 306.16 is: 421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.76 : 511.84 = 306.16 : x
  2. Step 2: Convert to fraction form
    371.76/511.84 = 306.16/x
  3. Step 3: Cross multiply
    371.76x = 511.84 × 306.16
  4. Step 4: Simplify right side
    371.76x = 156,704.93
  5. Step 5: Solve for x
    x = 156,704.93/371.76
  6. Step 6: Final answer
    x = 421.52

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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.