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Finding the Fourth Proportional to 492.10, 738.16 and 218.19

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Solution

The fourth proportional to 492.10, 738.16 and 218.19 is: 327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.10 : 738.16 = 218.19 : x
  2. Step 2: Convert to fraction form
    492.10/738.16 = 218.19/x
  3. Step 3: Cross multiply
    492.10x = 738.16 × 218.19
  4. Step 4: Simplify right side
    492.10x = 161,056.19
  5. Step 5: Solve for x
    x = 161,056.19/492.10
  6. Step 6: Final answer
    x = 327.28

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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.