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Finding the Fourth Proportional to 581.77, 872.65 and 170.89

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Solution

The fourth proportional to 581.77, 872.65 and 170.89 is: 256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.77 : 872.65 = 170.89 : x
  2. Step 2: Convert to fraction form
    581.77/872.65 = 170.89/x
  3. Step 3: Cross multiply
    581.77x = 872.65 × 170.89
  4. Step 4: Simplify right side
    581.77x = 149,129.62
  5. Step 5: Solve for x
    x = 149,129.62/581.77
  6. Step 6: Final answer
    x = 256.34

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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.