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Finding the Fourth Proportional to 365.62, 504.58 and 210.38

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Solution

The fourth proportional to 365.62, 504.58 and 210.38 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.62 : 504.58 = 210.38 : x
  2. Step 2: Convert to fraction form
    365.62/504.58 = 210.38/x
  3. Step 3: Cross multiply
    365.62x = 504.58 × 210.38
  4. Step 4: Simplify right side
    365.62x = 106,153.54
  5. Step 5: Solve for x
    x = 106,153.54/365.62
  6. Step 6: Final answer
    x = 290.34

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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.