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Finding the Fourth Proportional to 339.92, 469.64 and 337.48

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Solution

The fourth proportional to 339.92, 469.64 and 337.48 is: 466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.92 : 469.64 = 337.48 : x
  2. Step 2: Convert to fraction form
    339.92/469.64 = 337.48/x
  3. Step 3: Cross multiply
    339.92x = 469.64 × 337.48
  4. Step 4: Simplify right side
    339.92x = 158,494.11
  5. Step 5: Solve for x
    x = 158,494.11/339.92
  6. Step 6: Final answer
    x = 466.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.