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Finding the Fourth Proportional to 365.43, 504.19 and 214.01

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Solution

The fourth proportional to 365.43, 504.19 and 214.01 is: 295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.43 : 504.19 = 214.01 : x
  2. Step 2: Convert to fraction form
    365.43/504.19 = 214.01/x
  3. Step 3: Cross multiply
    365.43x = 504.19 × 214.01
  4. Step 4: Simplify right side
    365.43x = 107,901.34
  5. Step 5: Solve for x
    x = 107,901.34/365.43
  6. Step 6: Final answer
    x = 295.27

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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.