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Finding the Fourth Proportional to 492, 738.48 and 275.76

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Solution

The fourth proportional to 492, 738.48 and 275.76 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 738.48 = 275.76 : x
  2. Step 2: Convert to fraction form
    492/738.48 = 275.76/x
  3. Step 3: Cross multiply
    492x = 738.48 × 275.76
  4. Step 4: Simplify right side
    492x = 203,643.24
  5. Step 5: Solve for x
    x = 203,643.24/492
  6. Step 6: Final answer
    x = 413.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.