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Finding the Fourth Proportional to 341.84, 512.24 and 204.56

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Solution

The fourth proportional to 341.84, 512.24 and 204.56 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 512.24 = 204.56 : x
  2. Step 2: Convert to fraction form
    341.84/512.24 = 204.56/x
  3. Step 3: Cross multiply
    341.84x = 512.24 × 204.56
  4. Step 4: Simplify right side
    341.84x = 104,783.81
  5. Step 5: Solve for x
    x = 104,783.81/341.84
  6. Step 6: Final answer
    x = 306.53

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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.