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Finding the Fourth Proportional to 320.41, 480.52 and 89.24

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Solution

The fourth proportional to 320.41, 480.52 and 89.24 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.41 : 480.52 = 89.24 : x
  2. Step 2: Convert to fraction form
    320.41/480.52 = 89.24/x
  3. Step 3: Cross multiply
    320.41x = 480.52 × 89.24
  4. Step 4: Simplify right side
    320.41x = 42,881.60
  5. Step 5: Solve for x
    x = 42,881.60/320.41
  6. Step 6: Final answer
    x = 133.83

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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.