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Finding the Fourth Proportional to 559.36, 771.18 and 412

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Solution

The fourth proportional to 559.36, 771.18 and 412 is: 568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.36 : 771.18 = 412 : x
  2. Step 2: Convert to fraction form
    559.36/771.18 = 412/x
  3. Step 3: Cross multiply
    559.36x = 771.18 × 412
  4. Step 4: Simplify right side
    559.36x = 317,726.16
  5. Step 5: Solve for x
    x = 317,726.16/559.36
  6. Step 6: Final answer
    x = 568.02

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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.