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Finding the Fourth Proportional to 559.19, 771.66 and 323.13

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Solution

The fourth proportional to 559.19, 771.66 and 323.13 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.19 : 771.66 = 323.13 : x
  2. Step 2: Convert to fraction form
    559.19/771.66 = 323.13/x
  3. Step 3: Cross multiply
    559.19x = 771.66 × 323.13
  4. Step 4: Simplify right side
    559.19x = 249,346.50
  5. Step 5: Solve for x
    x = 249,346.50/559.19
  6. Step 6: Final answer
    x = 445.91

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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.