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Finding the Fourth Proportional to 863.91, 1,296.40 and 350.91

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Solution

The fourth proportional to 863.91, 1,296.40 and 350.91 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.91 : 1,296.40 = 350.91 : x
  2. Step 2: Convert to fraction form
    863.91/1,296.40 = 350.91/x
  3. Step 3: Cross multiply
    863.91x = 1,296.40 × 350.91
  4. Step 4: Simplify right side
    863.91x = 454,911.49
  5. Step 5: Solve for x
    x = 454,911.49/863.91
  6. Step 6: Final answer
    x = 526.58

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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.