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Finding the Fourth Proportional to 439.13, 605.16 and 314.57

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Solution

The fourth proportional to 439.13, 605.16 and 314.57 is: 433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.13 : 605.16 = 314.57 : x
  2. Step 2: Convert to fraction form
    439.13/605.16 = 314.57/x
  3. Step 3: Cross multiply
    439.13x = 605.16 × 314.57
  4. Step 4: Simplify right side
    439.13x = 190,367.58
  5. Step 5: Solve for x
    x = 190,367.58/439.13
  6. Step 6: Final answer
    x = 433.51

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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.