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Finding the Fourth Proportional to 558.86, 838.50 and 174.14

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Solution

The fourth proportional to 558.86, 838.50 and 174.14 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.86 : 838.50 = 174.14 : x
  2. Step 2: Convert to fraction form
    558.86/838.50 = 174.14/x
  3. Step 3: Cross multiply
    558.86x = 838.50 × 174.14
  4. Step 4: Simplify right side
    558.86x = 146,016.39
  5. Step 5: Solve for x
    x = 146,016.39/558.86
  6. Step 6: Final answer
    x = 261.28

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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.