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Finding the Fourth Proportional to 558.92, 838.32 and 174.20

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Solution

The fourth proportional to 558.92, 838.32 and 174.20 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.92 : 838.32 = 174.20 : x
  2. Step 2: Convert to fraction form
    558.92/838.32 = 174.20/x
  3. Step 3: Cross multiply
    558.92x = 838.32 × 174.20
  4. Step 4: Simplify right side
    558.92x = 146,035.34
  5. Step 5: Solve for x
    x = 146,035.34/558.92
  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.