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Finding the Fourth Proportional to 468.13, 645.96 and 293.44

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Solution

The fourth proportional to 468.13, 645.96 and 293.44 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.13 : 645.96 = 293.44 : x
  2. Step 2: Convert to fraction form
    468.13/645.96 = 293.44/x
  3. Step 3: Cross multiply
    468.13x = 645.96 × 293.44
  4. Step 4: Simplify right side
    468.13x = 189,550.50
  5. Step 5: Solve for x
    x = 189,550.50/468.13
  6. Step 6: Final answer
    x = 404.91

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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.