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Finding the Fourth Proportional to 559.52, 772.14 and 349.58

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Solution

The fourth proportional to 559.52, 772.14 and 349.58 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.52 : 772.14 = 349.58 : x
  2. Step 2: Convert to fraction form
    559.52/772.14 = 349.58/x
  3. Step 3: Cross multiply
    559.52x = 772.14 × 349.58
  4. Step 4: Simplify right side
    559.52x = 269,920.84
  5. Step 5: Solve for x
    x = 269,920.84/559.52
  6. Step 6: Final answer
    x = 482.42

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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.