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Finding the Fourth Proportional to 521.29, 719.31 and 300.22

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Solution

The fourth proportional to 521.29, 719.31 and 300.22 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.29 : 719.31 = 300.22 : x
  2. Step 2: Convert to fraction form
    521.29/719.31 = 300.22/x
  3. Step 3: Cross multiply
    521.29x = 719.31 × 300.22
  4. Step 4: Simplify right side
    521.29x = 215,951.25
  5. Step 5: Solve for x
    x = 215,951.25/521.29
  6. Step 6: Final answer
    x = 414.26

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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.