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Finding the Fourth Proportional to 506.36, 698.76 and 296.54

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Solution

The fourth proportional to 506.36, 698.76 and 296.54 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 698.76 = 296.54 : x
  2. Step 2: Convert to fraction form
    506.36/698.76 = 296.54/x
  3. Step 3: Cross multiply
    506.36x = 698.76 × 296.54
  4. Step 4: Simplify right side
    506.36x = 207,208.81
  5. Step 5: Solve for x
    x = 207,208.81/506.36
  6. Step 6: Final answer
    x = 409.21

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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.