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Finding the Fourth Proportional to 582.31, 873.62 and 171.43

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Solution

The fourth proportional to 582.31, 873.62 and 171.43 is: 257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 873.62 = 171.43 : x
  2. Step 2: Convert to fraction form
    582.31/873.62 = 171.43/x
  3. Step 3: Cross multiply
    582.31x = 873.62 × 171.43
  4. Step 4: Simplify right side
    582.31x = 149,763.82
  5. Step 5: Solve for x
    x = 149,763.82/582.31
  6. Step 6: Final answer
    x = 257.19

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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.