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Finding the Fourth Proportional to 365.44, 504.32 and 208.08

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Solution

The fourth proportional to 365.44, 504.32 and 208.08 is: 287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.44 : 504.32 = 208.08 : x
  2. Step 2: Convert to fraction form
    365.44/504.32 = 208.08/x
  3. Step 3: Cross multiply
    365.44x = 504.32 × 208.08
  4. Step 4: Simplify right side
    365.44x = 104,938.91
  5. Step 5: Solve for x
    x = 104,938.91/365.44
  6. Step 6: Final answer
    x = 287.16

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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.