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Finding the Fourth Proportional to 492.19, 738.38 and 275.34

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Solution

The fourth proportional to 492.19, 738.38 and 275.34 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.19 : 738.38 = 275.34 : x
  2. Step 2: Convert to fraction form
    492.19/738.38 = 275.34/x
  3. Step 3: Cross multiply
    492.19x = 738.38 × 275.34
  4. Step 4: Simplify right side
    492.19x = 203,305.55
  5. Step 5: Solve for x
    x = 203,305.55/492.19
  6. Step 6: Final answer
    x = 413.06

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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.