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Finding the Fourth Proportional to 339.49, 506.77 and 298.48

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Solution

The fourth proportional to 339.49, 506.77 and 298.48 is: 445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.49 : 506.77 = 298.48 : x
  2. Step 2: Convert to fraction form
    339.49/506.77 = 298.48/x
  3. Step 3: Cross multiply
    339.49x = 506.77 × 298.48
  4. Step 4: Simplify right side
    339.49x = 151,260.71
  5. Step 5: Solve for x
    x = 151,260.71/339.49
  6. Step 6: Final answer
    x = 445.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.