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Finding the Fourth Proportional to 558.96, 771.60 and 428.28

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Solution

The fourth proportional to 558.96, 771.60 and 428.28 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.96 : 771.60 = 428.28 : x
  2. Step 2: Convert to fraction form
    558.96/771.60 = 428.28/x
  3. Step 3: Cross multiply
    558.96x = 771.60 × 428.28
  4. Step 4: Simplify right side
    558.96x = 330,460.85
  5. Step 5: Solve for x
    x = 330,460.85/558.96
  6. Step 6: Final answer
    x = 591.21

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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.