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Finding the Fourth Proportional to 467.80, 645.44 and 293

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Solution

The fourth proportional to 467.80, 645.44 and 293 is: 404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.80 : 645.44 = 293 : x
  2. Step 2: Convert to fraction form
    467.80/645.44 = 293/x
  3. Step 3: Cross multiply
    467.80x = 645.44 × 293
  4. Step 4: Simplify right side
    467.80x = 189,113.92
  5. Step 5: Solve for x
    x = 189,113.92/467.80
  6. Step 6: Final answer
    x = 404.26

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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.