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Finding the Fourth Proportional to 325.00, 487.70 and 171.04

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Solution

The fourth proportional to 325.00, 487.70 and 171.04 is: 256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.00 : 487.70 = 171.04 : x
  2. Step 2: Convert to fraction form
    325.00/487.70 = 171.04/x
  3. Step 3: Cross multiply
    325.00x = 487.70 × 171.04
  4. Step 4: Simplify right side
    325.00x = 83,415.28
  5. Step 5: Solve for x
    x = 83,415.28/325.00
  6. Step 6: Final answer
    x = 256.66

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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.