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Finding the Fourth Proportional to 521.88, 721.02 and 518.22

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Solution

The fourth proportional to 521.88, 721.02 and 518.22 is: 715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 721.02 = 518.22 : x
  2. Step 2: Convert to fraction form
    521.88/721.02 = 518.22/x
  3. Step 3: Cross multiply
    521.88x = 721.02 × 518.22
  4. Step 4: Simplify right side
    521.88x = 373,646.98
  5. Step 5: Solve for x
    x = 373,646.98/521.88
  6. Step 6: Final answer
    x = 715.96

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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.