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Finding the Fourth Proportional to 521.77, 719.97 and 335.44

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Solution

The fourth proportional to 521.77, 719.97 and 335.44 is: 462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.77 : 719.97 = 335.44 : x
  2. Step 2: Convert to fraction form
    521.77/719.97 = 335.44/x
  3. Step 3: Cross multiply
    521.77x = 719.97 × 335.44
  4. Step 4: Simplify right side
    521.77x = 241,506.74
  5. Step 5: Solve for x
    x = 241,506.74/521.77
  6. Step 6: Final answer
    x = 462.86

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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.