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Finding the Fourth Proportional to 464.02, 698.74 and 343.13

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Solution

The fourth proportional to 464.02, 698.74 and 343.13 is: 516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 698.74 = 343.13 : x
  2. Step 2: Convert to fraction form
    464.02/698.74 = 343.13/x
  3. Step 3: Cross multiply
    464.02x = 698.74 × 343.13
  4. Step 4: Simplify right side
    464.02x = 239,756.94
  5. Step 5: Solve for x
    x = 239,756.94/464.02
  6. Step 6: Final answer
    x = 516.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.