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Finding the Fourth Proportional to 574.23, 792.41 and 312.24

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Solution

The fourth proportional to 574.23, 792.41 and 312.24 is: 430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.23 : 792.41 = 312.24 : x
  2. Step 2: Convert to fraction form
    574.23/792.41 = 312.24/x
  3. Step 3: Cross multiply
    574.23x = 792.41 × 312.24
  4. Step 4: Simplify right side
    574.23x = 247,422.88
  5. Step 5: Solve for x
    x = 247,422.88/574.23
  6. Step 6: Final answer
    x = 430.88

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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.