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Finding the Fourth Proportional to 574.35, 792.36 and 364.52

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Solution

The fourth proportional to 574.35, 792.36 and 364.52 is: 502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.35 : 792.36 = 364.52 : x
  2. Step 2: Convert to fraction form
    574.35/792.36 = 364.52/x
  3. Step 3: Cross multiply
    574.35x = 792.36 × 364.52
  4. Step 4: Simplify right side
    574.35x = 288,827.11
  5. Step 5: Solve for x
    x = 288,827.11/574.35
  6. Step 6: Final answer
    x = 502.88

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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.