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Finding the Fourth Proportional to 574.22, 792.42 and 312.24

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Solution

The fourth proportional to 574.22, 792.42 and 312.24 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.22 : 792.42 = 312.24 : x
  2. Step 2: Convert to fraction form
    574.22/792.42 = 312.24/x
  3. Step 3: Cross multiply
    574.22x = 792.42 × 312.24
  4. Step 4: Simplify right side
    574.22x = 247,425.22
  5. Step 5: Solve for x
    x = 247,425.22/574.22
  6. Step 6: Final answer
    x = 430.89

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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.