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Finding the Fourth Proportional to 492.14, 738.64 and 261.20

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Solution

The fourth proportional to 492.14, 738.64 and 261.20 is: 392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.14 : 738.64 = 261.20 : x
  2. Step 2: Convert to fraction form
    492.14/738.64 = 261.20/x
  3. Step 3: Cross multiply
    492.14x = 738.64 × 261.20
  4. Step 4: Simplify right side
    492.14x = 192,927.77
  5. Step 5: Solve for x
    x = 192,927.77/492.14
  6. Step 6: Final answer
    x = 392.02

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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.