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Finding the Fourth Proportional to 335.69, 502.58 and 206.57

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Solution

The fourth proportional to 335.69, 502.58 and 206.57 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.69 : 502.58 = 206.57 : x
  2. Step 2: Convert to fraction form
    335.69/502.58 = 206.57/x
  3. Step 3: Cross multiply
    335.69x = 502.58 × 206.57
  4. Step 4: Simplify right side
    335.69x = 103,816.92
  5. Step 5: Solve for x
    x = 103,816.92/335.69
  6. Step 6: Final answer
    x = 309.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.