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Finding the Fourth Proportional to 574.28, 792.50 and 312.29

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Solution

The fourth proportional to 574.28, 792.50 and 312.29 is: 430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.28 : 792.50 = 312.29 : x
  2. Step 2: Convert to fraction form
    574.28/792.50 = 312.29/x
  3. Step 3: Cross multiply
    574.28x = 792.50 × 312.29
  4. Step 4: Simplify right side
    574.28x = 247,493.03
  5. Step 5: Solve for x
    x = 247,493.03/574.28
  6. Step 6: Final answer
    x = 430.96

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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.