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Finding the Fourth Proportional to 345.27, 476.45 and 205.38

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Solution

The fourth proportional to 345.27, 476.45 and 205.38 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.27 : 476.45 = 205.38 : x
  2. Step 2: Convert to fraction form
    345.27/476.45 = 205.38/x
  3. Step 3: Cross multiply
    345.27x = 476.45 × 205.38
  4. Step 4: Simplify right side
    345.27x = 97,853.30
  5. Step 5: Solve for x
    x = 97,853.30/345.27
  6. Step 6: Final answer
    x = 283.41

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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.