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Finding the Fourth Proportional to 441.93, 662.93 and 117.30

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Solution

The fourth proportional to 441.93, 662.93 and 117.30 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.93 : 662.93 = 117.30 : x
  2. Step 2: Convert to fraction form
    441.93/662.93 = 117.30/x
  3. Step 3: Cross multiply
    441.93x = 662.93 × 117.30
  4. Step 4: Simplify right side
    441.93x = 77,761.69
  5. Step 5: Solve for x
    x = 77,761.69/441.93
  6. Step 6: Final answer
    x = 175.96

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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.