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Finding the Fourth Proportional to 558.72, 771.24 and 326.04

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Solution

The fourth proportional to 558.72, 771.24 and 326.04 is: 450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.72 : 771.24 = 326.04 : x
  2. Step 2: Convert to fraction form
    558.72/771.24 = 326.04/x
  3. Step 3: Cross multiply
    558.72x = 771.24 × 326.04
  4. Step 4: Simplify right side
    558.72x = 251,455.09
  5. Step 5: Solve for x
    x = 251,455.09/558.72
  6. Step 6: Final answer
    x = 450.06

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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.