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Finding the Fourth Proportional to 521.49, 720.68 and 381.77

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Solution

The fourth proportional to 521.49, 720.68 and 381.77 is: 527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.49 : 720.68 = 381.77 : x
  2. Step 2: Convert to fraction form
    521.49/720.68 = 381.77/x
  3. Step 3: Cross multiply
    521.49x = 720.68 × 381.77
  4. Step 4: Simplify right side
    521.49x = 275,128.49
  5. Step 5: Solve for x
    x = 275,128.49/521.49
  6. Step 6: Final answer
    x = 527.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.