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Finding the Fourth Proportional to 730.32, 1,096.26 and 297.76

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Solution

The fourth proportional to 730.32, 1,096.26 and 297.76 is: 446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.32 : 1,096.26 = 297.76 : x
  2. Step 2: Convert to fraction form
    730.32/1,096.26 = 297.76/x
  3. Step 3: Cross multiply
    730.32x = 1,096.26 × 297.76
  4. Step 4: Simplify right side
    730.32x = 326,422.38
  5. Step 5: Solve for x
    x = 326,422.38/730.32
  6. Step 6: Final answer
    x = 446.96

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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.