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Finding the Fourth Proportional to 651.92, 977.62 and 235.34

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Solution

The fourth proportional to 651.92, 977.62 and 235.34 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.92 : 977.62 = 235.34 : x
  2. Step 2: Convert to fraction form
    651.92/977.62 = 235.34/x
  3. Step 3: Cross multiply
    651.92x = 977.62 × 235.34
  4. Step 4: Simplify right side
    651.92x = 230,067.03
  5. Step 5: Solve for x
    x = 230,067.03/651.92
  6. Step 6: Final answer
    x = 352.91

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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.