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Finding the Fourth Proportional to 651.92, 977.86 and 261.81

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Solution

The fourth proportional to 651.92, 977.86 and 261.81 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.92 : 977.86 = 261.81 : x
  2. Step 2: Convert to fraction form
    651.92/977.86 = 261.81/x
  3. Step 3: Cross multiply
    651.92x = 977.86 × 261.81
  4. Step 4: Simplify right side
    651.92x = 256,012.87
  5. Step 5: Solve for x
    x = 256,012.87/651.92
  6. Step 6: Final answer
    x = 392.70

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Why These Related Problems?

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