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Finding the Fourth Proportional to 535.05, 742.15 and 520.83

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Solution

The fourth proportional to 535.05, 742.15 and 520.83 is: 722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.05 : 742.15 = 520.83 : x
  2. Step 2: Convert to fraction form
    535.05/742.15 = 520.83/x
  3. Step 3: Cross multiply
    535.05x = 742.15 × 520.83
  4. Step 4: Simplify right side
    535.05x = 386,531.71
  5. Step 5: Solve for x
    x = 386,531.71/535.05
  6. Step 6: Final answer
    x = 722.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.