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Finding the Fourth Proportional to 341.30, 512.13 and 204.62

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Solution

The fourth proportional to 341.30, 512.13 and 204.62 is: 307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.30 : 512.13 = 204.62 : x
  2. Step 2: Convert to fraction form
    341.30/512.13 = 204.62/x
  3. Step 3: Cross multiply
    341.30x = 512.13 × 204.62
  4. Step 4: Simplify right side
    341.30x = 104,792.04
  5. Step 5: Solve for x
    x = 104,792.04/341.30
  6. Step 6: Final answer
    x = 307.04

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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.