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Finding the Fourth Proportional to 309.92, 428.08 and 260.96

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Solution

The fourth proportional to 309.92, 428.08 and 260.96 is: 360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 428.08 = 260.96 : x
  2. Step 2: Convert to fraction form
    309.92/428.08 = 260.96/x
  3. Step 3: Cross multiply
    309.92x = 428.08 × 260.96
  4. Step 4: Simplify right side
    309.92x = 111,711.76
  5. Step 5: Solve for x
    x = 111,711.76/309.92
  6. Step 6: Final answer
    x = 360.45

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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.