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Finding the Fourth Proportional to 439.07, 605.93 and 264.31

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Solution

The fourth proportional to 439.07, 605.93 and 264.31 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.07 : 605.93 = 264.31 : x
  2. Step 2: Convert to fraction form
    439.07/605.93 = 264.31/x
  3. Step 3: Cross multiply
    439.07x = 605.93 × 264.31
  4. Step 4: Simplify right side
    439.07x = 160,154.87
  5. Step 5: Solve for x
    x = 160,154.87/439.07
  6. Step 6: Final answer
    x = 364.76

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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.