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Finding the Fourth Proportional to 308.84, 463.36 and 206.53

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Solution

The fourth proportional to 308.84, 463.36 and 206.53 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.84 : 463.36 = 206.53 : x
  2. Step 2: Convert to fraction form
    308.84/463.36 = 206.53/x
  3. Step 3: Cross multiply
    308.84x = 463.36 × 206.53
  4. Step 4: Simplify right side
    308.84x = 95,697.74
  5. Step 5: Solve for x
    x = 95,697.74/308.84
  6. Step 6: Final answer
    x = 309.86

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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.