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Finding the Fourth Proportional to 345.78, 477.03 and 205.85

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Solution

The fourth proportional to 345.78, 477.03 and 205.85 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.78 : 477.03 = 205.85 : x
  2. Step 2: Convert to fraction form
    345.78/477.03 = 205.85/x
  3. Step 3: Cross multiply
    345.78x = 477.03 × 205.85
  4. Step 4: Simplify right side
    345.78x = 98,194.24
  5. Step 5: Solve for x
    x = 98,194.24/345.78
  6. Step 6: Final answer
    x = 283.98

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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.