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Finding the Fourth Proportional to 581.75, 872.46 and 170.81

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Solution

The fourth proportional to 581.75, 872.46 and 170.81 is: 256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.75 : 872.46 = 170.81 : x
  2. Step 2: Convert to fraction form
    581.75/872.46 = 170.81/x
  3. Step 3: Cross multiply
    581.75x = 872.46 × 170.81
  4. Step 4: Simplify right side
    581.75x = 149,027.07
  5. Step 5: Solve for x
    x = 149,027.07/581.75
  6. Step 6: Final answer
    x = 256.17

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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.