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Finding the Fourth Proportional to 559.90, 839.61 and 174.94

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Solution

The fourth proportional to 559.90, 839.61 and 174.94 is: 262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.90 : 839.61 = 174.94 : x
  2. Step 2: Convert to fraction form
    559.90/839.61 = 174.94/x
  3. Step 3: Cross multiply
    559.90x = 839.61 × 174.94
  4. Step 4: Simplify right side
    559.90x = 146,881.37
  5. Step 5: Solve for x
    x = 146,881.37/559.90
  6. Step 6: Final answer
    x = 262.34

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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.