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Finding the Fourth Proportional to 467.86, 645.74 and 293.17

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Solution

The fourth proportional to 467.86, 645.74 and 293.17 is: 404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 645.74 = 293.17 : x
  2. Step 2: Convert to fraction form
    467.86/645.74 = 293.17/x
  3. Step 3: Cross multiply
    467.86x = 645.74 × 293.17
  4. Step 4: Simplify right side
    467.86x = 189,311.60
  5. Step 5: Solve for x
    x = 189,311.60/467.86
  6. Step 6: Final answer
    x = 404.63

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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.