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Finding the Fourth Proportional to 318.64, 439.32 and 293.92

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Solution

The fourth proportional to 318.64, 439.32 and 293.92 is: 405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.64 : 439.32 = 293.92 : x
  2. Step 2: Convert to fraction form
    318.64/439.32 = 293.92/x
  3. Step 3: Cross multiply
    318.64x = 439.32 × 293.92
  4. Step 4: Simplify right side
    318.64x = 129,124.93
  5. Step 5: Solve for x
    x = 129,124.93/318.64
  6. Step 6: Final answer
    x = 405.24

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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.