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Finding the Fourth Proportional to 448.52, 619.62 and 338

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Solution

The fourth proportional to 448.52, 619.62 and 338 is: 466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.52 : 619.62 = 338 : x
  2. Step 2: Convert to fraction form
    448.52/619.62 = 338/x
  3. Step 3: Cross multiply
    448.52x = 619.62 × 338
  4. Step 4: Simplify right side
    448.52x = 209,431.56
  5. Step 5: Solve for x
    x = 209,431.56/448.52
  6. Step 6: Final answer
    x = 466.94

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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.