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Finding the Fourth Proportional to 506.31, 698.73 and 296.49

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Solution

The fourth proportional to 506.31, 698.73 and 296.49 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.31 : 698.73 = 296.49 : x
  2. Step 2: Convert to fraction form
    506.31/698.73 = 296.49/x
  3. Step 3: Cross multiply
    506.31x = 698.73 × 296.49
  4. Step 4: Simplify right side
    506.31x = 207,166.46
  5. Step 5: Solve for x
    x = 207,166.46/506.31
  6. Step 6: Final answer
    x = 409.17

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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.