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Finding the Fourth Proportional to 365.53, 504.34 and 208.17

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Solution

The fourth proportional to 365.53, 504.34 and 208.17 is: 287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.53 : 504.34 = 208.17 : x
  2. Step 2: Convert to fraction form
    365.53/504.34 = 208.17/x
  3. Step 3: Cross multiply
    365.53x = 504.34 × 208.17
  4. Step 4: Simplify right side
    365.53x = 104,988.46
  5. Step 5: Solve for x
    x = 104,988.46/365.53
  6. Step 6: Final answer
    x = 287.22

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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.