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Finding the Fourth Proportional to 320.76, 443.06 and 247.98

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Solution

The fourth proportional to 320.76, 443.06 and 247.98 is: 342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.76 : 443.06 = 247.98 : x
  2. Step 2: Convert to fraction form
    320.76/443.06 = 247.98/x
  3. Step 3: Cross multiply
    320.76x = 443.06 × 247.98
  4. Step 4: Simplify right side
    320.76x = 109,868.78
  5. Step 5: Solve for x
    x = 109,868.78/320.76
  6. Step 6: Final answer
    x = 342.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.