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Finding the Fourth Proportional to 365.44, 504.48 and 210.16

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Solution

The fourth proportional to 365.44, 504.48 and 210.16 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.44 : 504.48 = 210.16 : x
  2. Step 2: Convert to fraction form
    365.44/504.48 = 210.16/x
  3. Step 3: Cross multiply
    365.44x = 504.48 × 210.16
  4. Step 4: Simplify right side
    365.44x = 106,021.52
  5. Step 5: Solve for x
    x = 106,021.52/365.44
  6. Step 6: Final answer
    x = 290.12

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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.