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Finding the Fourth Proportional to 360.78, 497.88 and 205.50

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Solution

The fourth proportional to 360.78, 497.88 and 205.50 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.78 : 497.88 = 205.50 : x
  2. Step 2: Convert to fraction form
    360.78/497.88 = 205.50/x
  3. Step 3: Cross multiply
    360.78x = 497.88 × 205.50
  4. Step 4: Simplify right side
    360.78x = 102,314.34
  5. Step 5: Solve for x
    x = 102,314.34/360.78
  6. Step 6: Final answer
    x = 283.59

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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.