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Finding the Fourth Proportional to 490.23, 672.92 and 433.74

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Solution

The fourth proportional to 490.23, 672.92 and 433.74 is: 595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 672.92 = 433.74 : x
  2. Step 2: Convert to fraction form
    490.23/672.92 = 433.74/x
  3. Step 3: Cross multiply
    490.23x = 672.92 × 433.74
  4. Step 4: Simplify right side
    490.23x = 291,870.15
  5. Step 5: Solve for x
    x = 291,870.15/490.23
  6. Step 6: Final answer
    x = 595.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.