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Finding the Fourth Proportional to 521.31, 720.03 and 381.20

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Solution

The fourth proportional to 521.31, 720.03 and 381.20 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.31 : 720.03 = 381.20 : x
  2. Step 2: Convert to fraction form
    521.31/720.03 = 381.20/x
  3. Step 3: Cross multiply
    521.31x = 720.03 × 381.20
  4. Step 4: Simplify right side
    521.31x = 274,475.44
  5. Step 5: Solve for x
    x = 274,475.44/521.31
  6. Step 6: Final answer
    x = 526.51

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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.