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Finding the Fourth Proportional to 556.28, 834.54 and 171.50

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Solution

The fourth proportional to 556.28, 834.54 and 171.50 is: 257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.28 : 834.54 = 171.50 : x
  2. Step 2: Convert to fraction form
    556.28/834.54 = 171.50/x
  3. Step 3: Cross multiply
    556.28x = 834.54 × 171.50
  4. Step 4: Simplify right side
    556.28x = 143,123.61
  5. Step 5: Solve for x
    x = 143,123.61/556.28
  6. Step 6: Final answer
    x = 257.29

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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.