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Finding the Fourth Proportional to 299.50, 412.45 and 293.14

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Solution

The fourth proportional to 299.50, 412.45 and 293.14 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 412.45 = 293.14 : x
  2. Step 2: Convert to fraction form
    299.50/412.45 = 293.14/x
  3. Step 3: Cross multiply
    299.50x = 412.45 × 293.14
  4. Step 4: Simplify right side
    299.50x = 120,905.59
  5. Step 5: Solve for x
    x = 120,905.59/299.50
  6. Step 6: Final answer
    x = 403.69

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Why These Related Problems?

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