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Finding the Fourth Proportional to 617.79, 852.55 and 338.02

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Solution

The fourth proportional to 617.79, 852.55 and 338.02 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.79 : 852.55 = 338.02 : x
  2. Step 2: Convert to fraction form
    617.79/852.55 = 338.02/x
  3. Step 3: Cross multiply
    617.79x = 852.55 × 338.02
  4. Step 4: Simplify right side
    617.79x = 288,178.95
  5. Step 5: Solve for x
    x = 288,178.95/617.79
  6. Step 6: Final answer
    x = 466.47

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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.