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Finding the Fourth Proportional to 322.37, 483.41 and 176.24

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Solution

The fourth proportional to 322.37, 483.41 and 176.24 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.37 : 483.41 = 176.24 : x
  2. Step 2: Convert to fraction form
    322.37/483.41 = 176.24/x
  3. Step 3: Cross multiply
    322.37x = 483.41 × 176.24
  4. Step 4: Simplify right side
    322.37x = 85,194.20
  5. Step 5: Solve for x
    x = 85,194.20/322.37
  6. Step 6: Final answer
    x = 264.28

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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.