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Finding the Fourth Proportional to 506.33, 698.49 and 340.79

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Solution

The fourth proportional to 506.33, 698.49 and 340.79 is: 470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.33 : 698.49 = 340.79 : x
  2. Step 2: Convert to fraction form
    506.33/698.49 = 340.79/x
  3. Step 3: Cross multiply
    506.33x = 698.49 × 340.79
  4. Step 4: Simplify right side
    506.33x = 238,034.91
  5. Step 5: Solve for x
    x = 238,034.91/506.33
  6. Step 6: Final answer
    x = 470.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.