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Finding the Fourth Proportional to 521.59, 719.89 and 335.31

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Solution

The fourth proportional to 521.59, 719.89 and 335.31 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.59 : 719.89 = 335.31 : x
  2. Step 2: Convert to fraction form
    521.59/719.89 = 335.31/x
  3. Step 3: Cross multiply
    521.59x = 719.89 × 335.31
  4. Step 4: Simplify right side
    521.59x = 241,389.43
  5. Step 5: Solve for x
    x = 241,389.43/521.59
  6. Step 6: Final answer
    x = 462.79

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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.