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Finding the Fourth Proportional to 369.44, 509.84 and 214.16

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Solution

The fourth proportional to 369.44, 509.84 and 214.16 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.44 : 509.84 = 214.16 : x
  2. Step 2: Convert to fraction form
    369.44/509.84 = 214.16/x
  3. Step 3: Cross multiply
    369.44x = 509.84 × 214.16
  4. Step 4: Simplify right side
    369.44x = 109,187.33
  5. Step 5: Solve for x
    x = 109,187.33/369.44
  6. Step 6: Final answer
    x = 295.55

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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.