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Finding the Fourth Proportional to 332.69, 499.04 and 89.24

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Solution

The fourth proportional to 332.69, 499.04 and 89.24 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.69 : 499.04 = 89.24 : x
  2. Step 2: Convert to fraction form
    332.69/499.04 = 89.24/x
  3. Step 3: Cross multiply
    332.69x = 499.04 × 89.24
  4. Step 4: Simplify right side
    332.69x = 44,533.88
  5. Step 5: Solve for x
    x = 44,533.88/332.69
  6. Step 6: Final answer
    x = 133.86

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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.