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Finding the Fourth Proportional to 521.20, 719.49 and 353.36

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Solution

The fourth proportional to 521.20, 719.49 and 353.36 is: 487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.20 : 719.49 = 353.36 : x
  2. Step 2: Convert to fraction form
    521.20/719.49 = 353.36/x
  3. Step 3: Cross multiply
    521.20x = 719.49 × 353.36
  4. Step 4: Simplify right side
    521.20x = 254,239.87
  5. Step 5: Solve for x
    x = 254,239.87/521.20
  6. Step 6: Final answer
    x = 487.80

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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.