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Finding the Fourth Proportional to 339.52, 469.28 and 299.88

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Solution

The fourth proportional to 339.52, 469.28 and 299.88 is: 414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.52 : 469.28 = 299.88 : x
  2. Step 2: Convert to fraction form
    339.52/469.28 = 299.88/x
  3. Step 3: Cross multiply
    339.52x = 469.28 × 299.88
  4. Step 4: Simplify right side
    339.52x = 140,727.69
  5. Step 5: Solve for x
    x = 140,727.69/339.52
  6. Step 6: Final answer
    x = 414.49

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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.