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Finding the Fourth Proportional to 325.40, 488.24 and 203.59

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Solution

The fourth proportional to 325.40, 488.24 and 203.59 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.40 : 488.24 = 203.59 : x
  2. Step 2: Convert to fraction form
    325.40/488.24 = 203.59/x
  3. Step 3: Cross multiply
    325.40x = 488.24 × 203.59
  4. Step 4: Simplify right side
    325.40x = 99,402.28
  5. Step 5: Solve for x
    x = 99,402.28/325.40
  6. Step 6: Final answer
    x = 305.48

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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.