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Finding the Fourth Proportional to 559.49, 839.14 and 174.71

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Solution

The fourth proportional to 559.49, 839.14 and 174.71 is: 262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.49 : 839.14 = 174.71 : x
  2. Step 2: Convert to fraction form
    559.49/839.14 = 174.71/x
  3. Step 3: Cross multiply
    559.49x = 839.14 × 174.71
  4. Step 4: Simplify right side
    559.49x = 146,606.15
  5. Step 5: Solve for x
    x = 146,606.15/559.49
  6. Step 6: Final answer
    x = 262.04

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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.