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Finding the Fourth Proportional to 491.69, 737.59 and 179.43

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Solution

The fourth proportional to 491.69, 737.59 and 179.43 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.69 : 737.59 = 179.43 : x
  2. Step 2: Convert to fraction form
    491.69/737.59 = 179.43/x
  3. Step 3: Cross multiply
    491.69x = 737.59 × 179.43
  4. Step 4: Simplify right side
    491.69x = 132,342.00
  5. Step 5: Solve for x
    x = 132,342.00/491.69
  6. Step 6: Final answer
    x = 269.16

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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.