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Finding the Fourth Proportional to 339.78, 466.40 and 302.12

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Solution

The fourth proportional to 339.78, 466.40 and 302.12 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 466.40 = 302.12 : x
  2. Step 2: Convert to fraction form
    339.78/466.40 = 302.12/x
  3. Step 3: Cross multiply
    339.78x = 466.40 × 302.12
  4. Step 4: Simplify right side
    339.78x = 140,904.93
  5. Step 5: Solve for x
    x = 140,904.93/339.78
  6. Step 6: Final answer
    x = 414.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.