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Finding the Fourth Proportional to 559.14, 771.57 and 323.04

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Solution

The fourth proportional to 559.14, 771.57 and 323.04 is: 445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.14 : 771.57 = 323.04 : x
  2. Step 2: Convert to fraction form
    559.14/771.57 = 323.04/x
  3. Step 3: Cross multiply
    559.14x = 771.57 × 323.04
  4. Step 4: Simplify right side
    559.14x = 249,247.97
  5. Step 5: Solve for x
    x = 249,247.97/559.14
  6. Step 6: Final answer
    x = 445.77

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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.