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Finding the Fourth Proportional to 365.65, 504.66 and 208.29

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Solution

The fourth proportional to 365.65, 504.66 and 208.29 is: 287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.65 : 504.66 = 208.29 : x
  2. Step 2: Convert to fraction form
    365.65/504.66 = 208.29/x
  3. Step 3: Cross multiply
    365.65x = 504.66 × 208.29
  4. Step 4: Simplify right side
    365.65x = 105,115.63
  5. Step 5: Solve for x
    x = 105,115.63/365.65
  6. Step 6: Final answer
    x = 287.48

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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.