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Finding the Fourth Proportional to 352.24, 488.36 and 332.80

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Solution

The fourth proportional to 352.24, 488.36 and 332.80 is: 461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.24 : 488.36 = 332.80 : x
  2. Step 2: Convert to fraction form
    352.24/488.36 = 332.80/x
  3. Step 3: Cross multiply
    352.24x = 488.36 × 332.80
  4. Step 4: Simplify right side
    352.24x = 162,526.21
  5. Step 5: Solve for x
    x = 162,526.21/352.24
  6. Step 6: Final answer
    x = 461.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.