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Finding the Fourth Proportional to 506.25, 698.65 and 296.49

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Solution

The fourth proportional to 506.25, 698.65 and 296.49 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 698.65 = 296.49 : x
  2. Step 2: Convert to fraction form
    506.25/698.65 = 296.49/x
  3. Step 3: Cross multiply
    506.25x = 698.65 × 296.49
  4. Step 4: Simplify right side
    506.25x = 207,139.56
  5. Step 5: Solve for x
    x = 207,139.56/506.25
  6. Step 6: Final answer
    x = 409.16

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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.