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Finding the Fourth Proportional to 506.49, 698.88 and 296.65

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Solution

The fourth proportional to 506.49, 698.88 and 296.65 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 698.88 = 296.65 : x
  2. Step 2: Convert to fraction form
    506.49/698.88 = 296.65/x
  3. Step 3: Cross multiply
    506.49x = 698.88 × 296.65
  4. Step 4: Simplify right side
    506.49x = 207,322.75
  5. Step 5: Solve for x
    x = 207,322.75/506.49
  6. Step 6: Final answer
    x = 409.33

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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.