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Finding the Fourth Proportional to 617.05, 852.65 and 460.32

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Solution

The fourth proportional to 617.05, 852.65 and 460.32 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.05 : 852.65 = 460.32 : x
  2. Step 2: Convert to fraction form
    617.05/852.65 = 460.32/x
  3. Step 3: Cross multiply
    617.05x = 852.65 × 460.32
  4. Step 4: Simplify right side
    617.05x = 392,491.85
  5. Step 5: Solve for x
    x = 392,491.85/617.05
  6. Step 6: Final answer
    x = 636.08

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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.