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Finding the Fourth Proportional to 574.30, 793.70 and 434.37

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Solution

The fourth proportional to 574.30, 793.70 and 434.37 is: 600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.30 : 793.70 = 434.37 : x
  2. Step 2: Convert to fraction form
    574.30/793.70 = 434.37/x
  3. Step 3: Cross multiply
    574.30x = 793.70 × 434.37
  4. Step 4: Simplify right side
    574.30x = 344,761.90
  5. Step 5: Solve for x
    x = 344,761.90/574.30
  6. Step 6: Final answer
    x = 600.32

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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.