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Finding the Fourth Proportional to 365.94, 504.99 and 208.58

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Solution

The fourth proportional to 365.94, 504.99 and 208.58 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.94 : 504.99 = 208.58 : x
  2. Step 2: Convert to fraction form
    365.94/504.99 = 208.58/x
  3. Step 3: Cross multiply
    365.94x = 504.99 × 208.58
  4. Step 4: Simplify right side
    365.94x = 105,328.29
  5. Step 5: Solve for x
    x = 105,328.29/365.94
  6. Step 6: Final answer
    x = 287.83

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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.