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Finding the Fourth Proportional to 369.46, 509.69 and 214.12

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Solution

The fourth proportional to 369.46, 509.69 and 214.12 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.46 : 509.69 = 214.12 : x
  2. Step 2: Convert to fraction form
    369.46/509.69 = 214.12/x
  3. Step 3: Cross multiply
    369.46x = 509.69 × 214.12
  4. Step 4: Simplify right side
    369.46x = 109,134.82
  5. Step 5: Solve for x
    x = 109,134.82/369.46
  6. Step 6: Final answer
    x = 295.39

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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.