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Finding the Fourth Proportional to 492.35, 738.79 and 275.94

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Solution

The fourth proportional to 492.35, 738.79 and 275.94 is: 414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.35 : 738.79 = 275.94 : x
  2. Step 2: Convert to fraction form
    492.35/738.79 = 275.94/x
  3. Step 3: Cross multiply
    492.35x = 738.79 × 275.94
  4. Step 4: Simplify right side
    492.35x = 203,861.02
  5. Step 5: Solve for x
    x = 203,861.02/492.35
  6. Step 6: Final answer
    x = 414.06

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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.