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Finding the Fourth Proportional to 521.98, 719.75 and 335.48

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Solution

The fourth proportional to 521.98, 719.75 and 335.48 is: 462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.98 : 719.75 = 335.48 : x
  2. Step 2: Convert to fraction form
    521.98/719.75 = 335.48/x
  3. Step 3: Cross multiply
    521.98x = 719.75 × 335.48
  4. Step 4: Simplify right side
    521.98x = 241,458.97
  5. Step 5: Solve for x
    x = 241,458.97/521.98
  6. Step 6: Final answer
    x = 462.59

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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.