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Finding the Fourth Proportional to 521.43, 719.52 and 300.34

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Solution

The fourth proportional to 521.43, 719.52 and 300.34 is: 414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.43 : 719.52 = 300.34 : x
  2. Step 2: Convert to fraction form
    521.43/719.52 = 300.34/x
  3. Step 3: Cross multiply
    521.43x = 719.52 × 300.34
  4. Step 4: Simplify right side
    521.43x = 216,098.84
  5. Step 5: Solve for x
    x = 216,098.84/521.43
  6. Step 6: Final answer
    x = 414.43

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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.