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Finding the Fourth Proportional to 439.64, 659.18 and 208.22

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Solution

The fourth proportional to 439.64, 659.18 and 208.22 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.64 : 659.18 = 208.22 : x
  2. Step 2: Convert to fraction form
    439.64/659.18 = 208.22/x
  3. Step 3: Cross multiply
    439.64x = 659.18 × 208.22
  4. Step 4: Simplify right side
    439.64x = 137,254.46
  5. Step 5: Solve for x
    x = 137,254.46/439.64
  6. Step 6: Final answer
    x = 312.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.