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Finding the Fourth Proportional to 574.50, 792.82 and 312.52

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Solution

The fourth proportional to 574.50, 792.82 and 312.52 is: 431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.50 : 792.82 = 312.52 : x
  2. Step 2: Convert to fraction form
    574.50/792.82 = 312.52/x
  3. Step 3: Cross multiply
    574.50x = 792.82 × 312.52
  4. Step 4: Simplify right side
    574.50x = 247,772.11
  5. Step 5: Solve for x
    x = 247,772.11/574.50
  6. Step 6: Final answer
    x = 431.28

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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.