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Finding the Fourth Proportional to 439.47, 606.56 and 264.78

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Solution

The fourth proportional to 439.47, 606.56 and 264.78 is: 365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.47 : 606.56 = 264.78 : x
  2. Step 2: Convert to fraction form
    439.47/606.56 = 264.78/x
  3. Step 3: Cross multiply
    439.47x = 606.56 × 264.78
  4. Step 4: Simplify right side
    439.47x = 160,603.63
  5. Step 5: Solve for x
    x = 160,603.63/439.47
  6. Step 6: Final answer
    x = 365.45

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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.