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Finding the Fourth Proportional to 863.36, 1,294.56 and 349.76

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Solution

The fourth proportional to 863.36, 1,294.56 and 349.76 is: 524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.36 : 1,294.56 = 349.76 : x
  2. Step 2: Convert to fraction form
    863.36/1,294.56 = 349.76/x
  3. Step 3: Cross multiply
    863.36x = 1,294.56 × 349.76
  4. Step 4: Simplify right side
    863.36x = 452,785.31
  5. Step 5: Solve for x
    x = 452,785.31/863.36
  6. Step 6: Final answer
    x = 524.45

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Why These Related Problems?

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