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Finding the Fourth Proportional to 365.82, 504.88 and 208.45

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Solution

The fourth proportional to 365.82, 504.88 and 208.45 is: 287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 504.88 = 208.45 : x
  2. Step 2: Convert to fraction form
    365.82/504.88 = 208.45/x
  3. Step 3: Cross multiply
    365.82x = 504.88 × 208.45
  4. Step 4: Simplify right side
    365.82x = 105,242.10
  5. Step 5: Solve for x
    x = 105,242.10/365.82
  6. Step 6: Final answer
    x = 287.69

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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.