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Finding the Fourth Proportional to 651.07, 976.60 and 261.24

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Solution

The fourth proportional to 651.07, 976.60 and 261.24 is: 391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.07 : 976.60 = 261.24 : x
  2. Step 2: Convert to fraction form
    651.07/976.60 = 261.24/x
  3. Step 3: Cross multiply
    651.07x = 976.60 × 261.24
  4. Step 4: Simplify right side
    651.07x = 255,125.68
  5. Step 5: Solve for x
    x = 255,125.68/651.07
  6. Step 6: Final answer
    x = 391.86

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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.