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Finding the Fourth Proportional to 558.86, 771.53 and 428.09

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Solution

The fourth proportional to 558.86, 771.53 and 428.09 is: 590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.86 : 771.53 = 428.09 : x
  2. Step 2: Convert to fraction form
    558.86/771.53 = 428.09/x
  3. Step 3: Cross multiply
    558.86x = 771.53 × 428.09
  4. Step 4: Simplify right side
    558.86x = 330,278.28
  5. Step 5: Solve for x
    x = 330,278.28/558.86
  6. Step 6: Final answer
    x = 590.99

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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.