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Finding the Fourth Proportional to 338.61, 466.59 and 234.93

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Solution

The fourth proportional to 338.61, 466.59 and 234.93 is: 323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 466.59 = 234.93 : x
  2. Step 2: Convert to fraction form
    338.61/466.59 = 234.93/x
  3. Step 3: Cross multiply
    338.61x = 466.59 × 234.93
  4. Step 4: Simplify right side
    338.61x = 109,615.99
  5. Step 5: Solve for x
    x = 109,615.99/338.61
  6. Step 6: Final answer
    x = 323.72

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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.