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Finding the Fourth Proportional to 365.66, 504.64 and 208.30

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Solution

The fourth proportional to 365.66, 504.64 and 208.30 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.66 : 504.64 = 208.30 : x
  2. Step 2: Convert to fraction form
    365.66/504.64 = 208.30/x
  3. Step 3: Cross multiply
    365.66x = 504.64 × 208.30
  4. Step 4: Simplify right side
    365.66x = 105,116.51
  5. Step 5: Solve for x
    x = 105,116.51/365.66
  6. Step 6: Final answer
    x = 287.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.