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Finding the Fourth Proportional to 521.15, 719.22 and 300.14

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Solution

The fourth proportional to 521.15, 719.22 and 300.14 is: 414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.15 : 719.22 = 300.14 : x
  2. Step 2: Convert to fraction form
    521.15/719.22 = 300.14/x
  3. Step 3: Cross multiply
    521.15x = 719.22 × 300.14
  4. Step 4: Simplify right side
    521.15x = 215,861.97
  5. Step 5: Solve for x
    x = 215,861.97/521.15
  6. Step 6: Final answer
    x = 414.20

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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.