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Finding the Fourth Proportional to 341.51, 512.94 and 204.83

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Solution

The fourth proportional to 341.51, 512.94 and 204.83 is: 307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.51 : 512.94 = 204.83 : x
  2. Step 2: Convert to fraction form
    341.51/512.94 = 204.83/x
  3. Step 3: Cross multiply
    341.51x = 512.94 × 204.83
  4. Step 4: Simplify right side
    341.51x = 105,062.94
  5. Step 5: Solve for x
    x = 105,062.94/341.51
  6. Step 6: Final answer
    x = 307.64

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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.