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Finding the Fourth Proportional to 574.37, 792.69 and 364.53

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Solution

The fourth proportional to 574.37, 792.69 and 364.53 is: 503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.37 : 792.69 = 364.53 : x
  2. Step 2: Convert to fraction form
    574.37/792.69 = 364.53/x
  3. Step 3: Cross multiply
    574.37x = 792.69 × 364.53
  4. Step 4: Simplify right side
    574.37x = 288,959.29
  5. Step 5: Solve for x
    x = 288,959.29/574.37
  6. Step 6: Final answer
    x = 503.09

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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.