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Finding the Fourth Proportional to 574.19, 792.59 and 408.89

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Solution

The fourth proportional to 574.19, 792.59 and 408.89 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.19 : 792.59 = 408.89 : x
  2. Step 2: Convert to fraction form
    574.19/792.59 = 408.89/x
  3. Step 3: Cross multiply
    574.19x = 792.59 × 408.89
  4. Step 4: Simplify right side
    574.19x = 324,077.60
  5. Step 5: Solve for x
    x = 324,077.60/574.19
  6. Step 6: Final answer
    x = 564.40

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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.