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Finding the Fourth Proportional to 369.63, 554.46 and 215.46

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Solution

The fourth proportional to 369.63, 554.46 and 215.46 is: 323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.63 : 554.46 = 215.46 : x
  2. Step 2: Convert to fraction form
    369.63/554.46 = 215.46/x
  3. Step 3: Cross multiply
    369.63x = 554.46 × 215.46
  4. Step 4: Simplify right side
    369.63x = 119,463.95
  5. Step 5: Solve for x
    x = 119,463.95/369.63
  6. Step 6: Final answer
    x = 323.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.