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Finding the Fourth Proportional to 365.80, 504.80 and 208.42

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Solution

The fourth proportional to 365.80, 504.80 and 208.42 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.80 : 504.80 = 208.42 : x
  2. Step 2: Convert to fraction form
    365.80/504.80 = 208.42/x
  3. Step 3: Cross multiply
    365.80x = 504.80 × 208.42
  4. Step 4: Simplify right side
    365.80x = 105,210.42
  5. Step 5: Solve for x
    x = 105,210.42/365.80
  6. Step 6: Final answer
    x = 287.62

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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.