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Finding the Fourth Proportional to 467.24, 703.67 and 394.57

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Solution

The fourth proportional to 467.24, 703.67 and 394.57 is: 594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.24 : 703.67 = 394.57 : x
  2. Step 2: Convert to fraction form
    467.24/703.67 = 394.57/x
  3. Step 3: Cross multiply
    467.24x = 703.67 × 394.57
  4. Step 4: Simplify right side
    467.24x = 277,649.86
  5. Step 5: Solve for x
    x = 277,649.86/467.24
  6. Step 6: Final answer
    x = 594.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.