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Finding the Fourth Proportional to 651.54, 977.77 and 343.31

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Solution

The fourth proportional to 651.54, 977.77 and 343.31 is: 515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.54 : 977.77 = 343.31 : x
  2. Step 2: Convert to fraction form
    651.54/977.77 = 343.31/x
  3. Step 3: Cross multiply
    651.54x = 977.77 × 343.31
  4. Step 4: Simplify right side
    651.54x = 335,682.01
  5. Step 5: Solve for x
    x = 335,682.01/651.54
  6. Step 6: Final answer
    x = 515.21

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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.