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Finding the Fourth Proportional to 365.79, 504.74 and 208.43

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Solution

The fourth proportional to 365.79, 504.74 and 208.43 is: 287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.79 : 504.74 = 208.43 : x
  2. Step 2: Convert to fraction form
    365.79/504.74 = 208.43/x
  3. Step 3: Cross multiply
    365.79x = 504.74 × 208.43
  4. Step 4: Simplify right side
    365.79x = 105,202.96
  5. Step 5: Solve for x
    x = 105,202.96/365.79
  6. Step 6: Final answer
    x = 287.60

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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.