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Finding the Fourth Proportional to 463.52, 697.97 and 342.62

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Solution

The fourth proportional to 463.52, 697.97 and 342.62 is: 515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 697.97 = 342.62 : x
  2. Step 2: Convert to fraction form
    463.52/697.97 = 342.62/x
  3. Step 3: Cross multiply
    463.52x = 697.97 × 342.62
  4. Step 4: Simplify right side
    463.52x = 239,141.08
  5. Step 5: Solve for x
    x = 239,141.08/463.52
  6. Step 6: Final answer
    x = 515.93

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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.