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Finding the Fourth Proportional to 339.97, 508.94 and 334.16

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Solution

The fourth proportional to 339.97, 508.94 and 334.16 is: 500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.97 : 508.94 = 334.16 : x
  2. Step 2: Convert to fraction form
    339.97/508.94 = 334.16/x
  3. Step 3: Cross multiply
    339.97x = 508.94 × 334.16
  4. Step 4: Simplify right side
    339.97x = 170,065.72
  5. Step 5: Solve for x
    x = 170,065.72/339.97
  6. Step 6: Final answer
    x = 500.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.