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Finding the Fourth Proportional to 360.66, 497.68 and 205.41

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Solution

The fourth proportional to 360.66, 497.68 and 205.41 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.66 : 497.68 = 205.41 : x
  2. Step 2: Convert to fraction form
    360.66/497.68 = 205.41/x
  3. Step 3: Cross multiply
    360.66x = 497.68 × 205.41
  4. Step 4: Simplify right side
    360.66x = 102,228.45
  5. Step 5: Solve for x
    x = 102,228.45/360.66
  6. Step 6: Final answer
    x = 283.45

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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.