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Finding the Fourth Proportional to 574.80, 792.96 and 365.24

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Solution

The fourth proportional to 574.80, 792.96 and 365.24 is: 503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 792.96 = 365.24 : x
  2. Step 2: Convert to fraction form
    574.80/792.96 = 365.24/x
  3. Step 3: Cross multiply
    574.80x = 792.96 × 365.24
  4. Step 4: Simplify right side
    574.80x = 289,620.71
  5. Step 5: Solve for x
    x = 289,620.71/574.80
  6. Step 6: Final answer
    x = 503.86

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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.