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Finding the Fourth Proportional to 365.51, 504.40 and 210.27

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Solution

The fourth proportional to 365.51, 504.40 and 210.27 is: 290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.51 : 504.40 = 210.27 : x
  2. Step 2: Convert to fraction form
    365.51/504.40 = 210.27/x
  3. Step 3: Cross multiply
    365.51x = 504.40 × 210.27
  4. Step 4: Simplify right side
    365.51x = 106,059.14
  5. Step 5: Solve for x
    x = 106,059.14/365.51
  6. Step 6: Final answer
    x = 290.17

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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.