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Finding the Fourth Proportional to 574.53, 792.87 and 378.42

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Solution

The fourth proportional to 574.53, 792.87 and 378.42 is: 522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.53 : 792.87 = 378.42 : x
  2. Step 2: Convert to fraction form
    574.53/792.87 = 378.42/x
  3. Step 3: Cross multiply
    574.53x = 792.87 × 378.42
  4. Step 4: Simplify right side
    574.53x = 300,037.87
  5. Step 5: Solve for x
    x = 300,037.87/574.53
  6. Step 6: Final answer
    x = 522.23

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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.