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Finding the Fourth Proportional to 365.90, 504.93 and 208.54

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Solution

The fourth proportional to 365.90, 504.93 and 208.54 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 504.93 = 208.54 : x
  2. Step 2: Convert to fraction form
    365.90/504.93 = 208.54/x
  3. Step 3: Cross multiply
    365.90x = 504.93 × 208.54
  4. Step 4: Simplify right side
    365.90x = 105,295.63
  5. Step 5: Solve for x
    x = 105,295.63/365.90
  6. Step 6: Final answer
    x = 287.77

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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.