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Finding the Fourth Proportional to 339.18, 467.64 and 228.48

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Solution

The fourth proportional to 339.18, 467.64 and 228.48 is: 315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.18 : 467.64 = 228.48 : x
  2. Step 2: Convert to fraction form
    339.18/467.64 = 228.48/x
  3. Step 3: Cross multiply
    339.18x = 467.64 × 228.48
  4. Step 4: Simplify right side
    339.18x = 106,846.39
  5. Step 5: Solve for x
    x = 106,846.39/339.18
  6. Step 6: Final answer
    x = 315.01

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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.