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Finding the Fourth Proportional to 365.66, 504.59 and 208.31

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Solution

The fourth proportional to 365.66, 504.59 and 208.31 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.66 : 504.59 = 208.31 : x
  2. Step 2: Convert to fraction form
    365.66/504.59 = 208.31/x
  3. Step 3: Cross multiply
    365.66x = 504.59 × 208.31
  4. Step 4: Simplify right side
    365.66x = 105,107.58
  5. Step 5: Solve for x
    x = 105,107.58/365.66
  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.