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Finding the Fourth Proportional to 651.14, 977.06 and 261.43

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Solution

The fourth proportional to 651.14, 977.06 and 261.43 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 977.06 = 261.43 : x
  2. Step 2: Convert to fraction form
    651.14/977.06 = 261.43/x
  3. Step 3: Cross multiply
    651.14x = 977.06 × 261.43
  4. Step 4: Simplify right side
    651.14x = 255,431.01
  5. Step 5: Solve for x
    x = 255,431.01/651.14
  6. Step 6: Final answer
    x = 392.28

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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.