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Finding the Fourth Proportional to 617.77, 852.53 and 338.02

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Solution

The fourth proportional to 617.77, 852.53 and 338.02 is: 466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 852.53 = 338.02 : x
  2. Step 2: Convert to fraction form
    617.77/852.53 = 338.02/x
  3. Step 3: Cross multiply
    617.77x = 852.53 × 338.02
  4. Step 4: Simplify right side
    617.77x = 288,168.37
  5. Step 5: Solve for x
    x = 288,168.37/617.77
  6. Step 6: Final answer
    x = 466.46

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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.