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Finding the Fourth Proportional to 582.14, 873.21 and 171.28

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Solution

The fourth proportional to 582.14, 873.21 and 171.28 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 873.21 = 171.28 : x
  2. Step 2: Convert to fraction form
    582.14/873.21 = 171.28/x
  3. Step 3: Cross multiply
    582.14x = 873.21 × 171.28
  4. Step 4: Simplify right side
    582.14x = 149,563.41
  5. Step 5: Solve for x
    x = 149,563.41/582.14
  6. Step 6: Final answer
    x = 256.92

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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.