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Finding the Fourth Proportional to 369.56, 551.75 and 367.00

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Solution

The fourth proportional to 369.56, 551.75 and 367.00 is: 547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 551.75 = 367.00 : x
  2. Step 2: Convert to fraction form
    369.56/551.75 = 367.00/x
  3. Step 3: Cross multiply
    369.56x = 551.75 × 367.00
  4. Step 4: Simplify right side
    369.56x = 202,489.04
  5. Step 5: Solve for x
    x = 202,489.04/369.56
  6. Step 6: Final answer
    x = 547.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.