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Finding the Fourth Proportional to 343.52, 474 and 205.52

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Solution

The fourth proportional to 343.52, 474 and 205.52 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 474 = 205.52 : x
  2. Step 2: Convert to fraction form
    343.52/474 = 205.52/x
  3. Step 3: Cross multiply
    343.52x = 474 × 205.52
  4. Step 4: Simplify right side
    343.52x = 97,416.48
  5. Step 5: Solve for x
    x = 97,416.48/343.52
  6. Step 6: Final answer
    x = 283.58

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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.