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Finding the Fourth Proportional to 369.28, 509.64 and 214

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Solution

The fourth proportional to 369.28, 509.64 and 214 is: 295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.28 : 509.64 = 214 : x
  2. Step 2: Convert to fraction form
    369.28/509.64 = 214/x
  3. Step 3: Cross multiply
    369.28x = 509.64 × 214
  4. Step 4: Simplify right side
    369.28x = 109,062.96
  5. Step 5: Solve for x
    x = 109,062.96/369.28
  6. Step 6: Final answer
    x = 295.34

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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.