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Finding the Fourth Proportional to 464.52, 697.10 and 343.10

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Solution

The fourth proportional to 464.52, 697.10 and 343.10 is: 514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 697.10 = 343.10 : x
  2. Step 2: Convert to fraction form
    464.52/697.10 = 343.10/x
  3. Step 3: Cross multiply
    464.52x = 697.10 × 343.10
  4. Step 4: Simplify right side
    464.52x = 239,175.01
  5. Step 5: Solve for x
    x = 239,175.01/464.52
  6. Step 6: Final answer
    x = 514.89

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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.