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Finding the Fourth Proportional to 651.57, 977.09 and 343.23

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Solution

The fourth proportional to 651.57, 977.09 and 343.23 is: 514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 977.09 = 343.23 : x
  2. Step 2: Convert to fraction form
    651.57/977.09 = 343.23/x
  3. Step 3: Cross multiply
    651.57x = 977.09 × 343.23
  4. Step 4: Simplify right side
    651.57x = 335,364.88
  5. Step 5: Solve for x
    x = 335,364.88/651.57
  6. Step 6: Final answer
    x = 514.70

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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.