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Finding the Fourth Proportional to 492.06, 737.91 and 214.31

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Solution

The fourth proportional to 492.06, 737.91 and 214.31 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.06 : 737.91 = 214.31 : x
  2. Step 2: Convert to fraction form
    492.06/737.91 = 214.31/x
  3. Step 3: Cross multiply
    492.06x = 737.91 × 214.31
  4. Step 4: Simplify right side
    492.06x = 158,143.34
  5. Step 5: Solve for x
    x = 158,143.34/492.06
  6. Step 6: Final answer
    x = 321.39

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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.