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Finding the Fourth Proportional to 521.52, 719.82 and 381.84

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Solution

The fourth proportional to 521.52, 719.82 and 381.84 is: 527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.52 : 719.82 = 381.84 : x
  2. Step 2: Convert to fraction form
    521.52/719.82 = 381.84/x
  3. Step 3: Cross multiply
    521.52x = 719.82 × 381.84
  4. Step 4: Simplify right side
    521.52x = 274,856.07
  5. Step 5: Solve for x
    x = 274,856.07/521.52
  6. Step 6: Final answer
    x = 527.03

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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.