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Finding the Fourth Proportional to 506.62, 699.09 and 296.79

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Solution

The fourth proportional to 506.62, 699.09 and 296.79 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.62 : 699.09 = 296.79 : x
  2. Step 2: Convert to fraction form
    506.62/699.09 = 296.79/x
  3. Step 3: Cross multiply
    506.62x = 699.09 × 296.79
  4. Step 4: Simplify right side
    506.62x = 207,482.92
  5. Step 5: Solve for x
    x = 207,482.92/506.62
  6. Step 6: Final answer
    x = 409.54

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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.