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Finding the Fourth Proportional to 365.59, 504.49 and 208.21

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Solution

The fourth proportional to 365.59, 504.49 and 208.21 is: 287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.59 : 504.49 = 208.21 : x
  2. Step 2: Convert to fraction form
    365.59/504.49 = 208.21/x
  3. Step 3: Cross multiply
    365.59x = 504.49 × 208.21
  4. Step 4: Simplify right side
    365.59x = 105,039.86
  5. Step 5: Solve for x
    x = 105,039.86/365.59
  6. Step 6: Final answer
    x = 287.32

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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.