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Finding the Fourth Proportional to 338.14, 467.97 and 291.67

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Solution

The fourth proportional to 338.14, 467.97 and 291.67 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 467.97 = 291.67 : x
  2. Step 2: Convert to fraction form
    338.14/467.97 = 291.67/x
  3. Step 3: Cross multiply
    338.14x = 467.97 × 291.67
  4. Step 4: Simplify right side
    338.14x = 136,492.81
  5. Step 5: Solve for x
    x = 136,492.81/338.14
  6. Step 6: Final answer
    x = 403.66

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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.