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Finding the Fourth Proportional to 492, 737.64 and 218.22

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Solution

The fourth proportional to 492, 737.64 and 218.22 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 737.64 = 218.22 : x
  2. Step 2: Convert to fraction form
    492/737.64 = 218.22/x
  3. Step 3: Cross multiply
    492x = 737.64 × 218.22
  4. Step 4: Simplify right side
    492x = 160,967.80
  5. Step 5: Solve for x
    x = 160,967.80/492
  6. Step 6: Final answer
    x = 327.17

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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.