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Finding the Fourth Proportional to 337.35, 465.62 and 206.46

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Solution

The fourth proportional to 337.35, 465.62 and 206.46 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.35 : 465.62 = 206.46 : x
  2. Step 2: Convert to fraction form
    337.35/465.62 = 206.46/x
  3. Step 3: Cross multiply
    337.35x = 465.62 × 206.46
  4. Step 4: Simplify right side
    337.35x = 96,130.87
  5. Step 5: Solve for x
    x = 96,130.87/337.35
  6. Step 6: Final answer
    x = 284.96

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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.