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Finding the Fourth Proportional to 521.40, 781.36 and 393.24

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Solution

The fourth proportional to 521.40, 781.36 and 393.24 is: 589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.40 : 781.36 = 393.24 : x
  2. Step 2: Convert to fraction form
    521.40/781.36 = 393.24/x
  3. Step 3: Cross multiply
    521.40x = 781.36 × 393.24
  4. Step 4: Simplify right side
    521.40x = 307,262.01
  5. Step 5: Solve for x
    x = 307,262.01/521.40
  6. Step 6: Final answer
    x = 589.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.