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Finding the Fourth Proportional to 540.70, 743.79 and 452.14

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Solution

The fourth proportional to 540.70, 743.79 and 452.14 is: 621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 743.79 = 452.14 : x
  2. Step 2: Convert to fraction form
    540.70/743.79 = 452.14/x
  3. Step 3: Cross multiply
    540.70x = 743.79 × 452.14
  4. Step 4: Simplify right side
    540.70x = 336,297.21
  5. Step 5: Solve for x
    x = 336,297.21/540.70
  6. Step 6: Final answer
    x = 621.97

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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.