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Finding the Fourth Proportional to 574.78, 792.95 and 353.65

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Solution

The fourth proportional to 574.78, 792.95 and 353.65 is: 487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.78 : 792.95 = 353.65 : x
  2. Step 2: Convert to fraction form
    574.78/792.95 = 353.65/x
  3. Step 3: Cross multiply
    574.78x = 792.95 × 353.65
  4. Step 4: Simplify right side
    574.78x = 280,426.77
  5. Step 5: Solve for x
    x = 280,426.77/574.78
  6. Step 6: Final answer
    x = 487.89

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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.