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Finding the Fourth Proportional to 559.32, 771 and 419.22

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Solution

The fourth proportional to 559.32, 771 and 419.22 is: 577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.32 : 771 = 419.22 : x
  2. Step 2: Convert to fraction form
    559.32/771 = 419.22/x
  3. Step 3: Cross multiply
    559.32x = 771 × 419.22
  4. Step 4: Simplify right side
    559.32x = 323,218.62
  5. Step 5: Solve for x
    x = 323,218.62/559.32
  6. Step 6: Final answer
    x = 577.88

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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.