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Finding the Fourth Proportional to 662.37, 914.24 and 476.42

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Solution

The fourth proportional to 662.37, 914.24 and 476.42 is: 657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.37 : 914.24 = 476.42 : x
  2. Step 2: Convert to fraction form
    662.37/914.24 = 476.42/x
  3. Step 3: Cross multiply
    662.37x = 914.24 × 476.42
  4. Step 4: Simplify right side
    662.37x = 435,555.27
  5. Step 5: Solve for x
    x = 435,555.27/662.37
  6. Step 6: Final answer
    x = 657.57

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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.