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Finding the Fourth Proportional to 559.40, 839.06 and 174.64

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Solution

The fourth proportional to 559.40, 839.06 and 174.64 is: 261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.40 : 839.06 = 174.64 : x
  2. Step 2: Convert to fraction form
    559.40/839.06 = 174.64/x
  3. Step 3: Cross multiply
    559.40x = 839.06 × 174.64
  4. Step 4: Simplify right side
    559.40x = 146,533.44
  5. Step 5: Solve for x
    x = 146,533.44/559.40
  6. Step 6: Final answer
    x = 261.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.