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Finding the Fourth Proportional to 651.54, 977.32 and 343.20

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Solution

The fourth proportional to 651.54, 977.32 and 343.20 is: 514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.54 : 977.32 = 343.20 : x
  2. Step 2: Convert to fraction form
    651.54/977.32 = 343.20/x
  3. Step 3: Cross multiply
    651.54x = 977.32 × 343.20
  4. Step 4: Simplify right side
    651.54x = 335,416.22
  5. Step 5: Solve for x
    x = 335,416.22/651.54
  6. Step 6: Final answer
    x = 514.81

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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.