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Finding the Fourth Proportional to 559.29, 771.68 and 323.22

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Solution

The fourth proportional to 559.29, 771.68 and 323.22 is: 445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.29 : 771.68 = 323.22 : x
  2. Step 2: Convert to fraction form
    559.29/771.68 = 323.22/x
  3. Step 3: Cross multiply
    559.29x = 771.68 × 323.22
  4. Step 4: Simplify right side
    559.29x = 249,420.79
  5. Step 5: Solve for x
    x = 249,420.79/559.29
  6. Step 6: Final answer
    x = 445.96

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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.