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Finding the Fourth Proportional to 365.64, 504.62 and 208.28

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Solution

The fourth proportional to 365.64, 504.62 and 208.28 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.64 : 504.62 = 208.28 : x
  2. Step 2: Convert to fraction form
    365.64/504.62 = 208.28/x
  3. Step 3: Cross multiply
    365.64x = 504.62 × 208.28
  4. Step 4: Simplify right side
    365.64x = 105,101.73
  5. Step 5: Solve for x
    x = 105,101.73/365.64
  6. Step 6: Final answer
    x = 287.45

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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.