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Finding the Fourth Proportional to 662.55, 995.36 and 416.52

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Solution

The fourth proportional to 662.55, 995.36 and 416.52 is: 625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.55 : 995.36 = 416.52 : x
  2. Step 2: Convert to fraction form
    662.55/995.36 = 416.52/x
  3. Step 3: Cross multiply
    662.55x = 995.36 × 416.52
  4. Step 4: Simplify right side
    662.55x = 414,585.26
  5. Step 5: Solve for x
    x = 414,585.26/662.55
  6. Step 6: Final answer
    x = 625.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.