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Finding the Fourth Proportional to 439.58, 606.78 and 264.89

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Solution

The fourth proportional to 439.58, 606.78 and 264.89 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.58 : 606.78 = 264.89 : x
  2. Step 2: Convert to fraction form
    439.58/606.78 = 264.89/x
  3. Step 3: Cross multiply
    439.58x = 606.78 × 264.89
  4. Step 4: Simplify right side
    439.58x = 160,729.95
  5. Step 5: Solve for x
    x = 160,729.95/439.58
  6. Step 6: Final answer
    x = 365.64

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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.