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Finding the Fourth Proportional to 559.54, 772.26 and 323.50

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Solution

The fourth proportional to 559.54, 772.26 and 323.50 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.54 : 772.26 = 323.50 : x
  2. Step 2: Convert to fraction form
    559.54/772.26 = 323.50/x
  3. Step 3: Cross multiply
    559.54x = 772.26 × 323.50
  4. Step 4: Simplify right side
    559.54x = 249,826.11
  5. Step 5: Solve for x
    x = 249,826.11/559.54
  6. Step 6: Final answer
    x = 446.48

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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.