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Finding the Fourth Proportional to 439.61, 659.22 and 257.06

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Solution

The fourth proportional to 439.61, 659.22 and 257.06 is: 385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.61 : 659.22 = 257.06 : x
  2. Step 2: Convert to fraction form
    439.61/659.22 = 257.06/x
  3. Step 3: Cross multiply
    439.61x = 659.22 × 257.06
  4. Step 4: Simplify right side
    439.61x = 169,459.09
  5. Step 5: Solve for x
    x = 169,459.09/439.61
  6. Step 6: Final answer
    x = 385.48

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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.