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Finding the Fourth Proportional to 365.85, 504.90 and 208.47

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Solution

The fourth proportional to 365.85, 504.90 and 208.47 is: 287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.85 : 504.90 = 208.47 : x
  2. Step 2: Convert to fraction form
    365.85/504.90 = 208.47/x
  3. Step 3: Cross multiply
    365.85x = 504.90 × 208.47
  4. Step 4: Simplify right side
    365.85x = 105,258.40
  5. Step 5: Solve for x
    x = 105,258.40/365.85
  6. Step 6: Final answer
    x = 287.71

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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.