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Finding the Fourth Proportional to 559.63, 773.40 and 420.22

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Solution

The fourth proportional to 559.63, 773.40 and 420.22 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.63 : 773.40 = 420.22 : x
  2. Step 2: Convert to fraction form
    559.63/773.40 = 420.22/x
  3. Step 3: Cross multiply
    559.63x = 773.40 × 420.22
  4. Step 4: Simplify right side
    559.63x = 324,998.15
  5. Step 5: Solve for x
    x = 324,998.15/559.63
  6. Step 6: Final answer
    x = 580.74

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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.