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Finding the Fourth Proportional to 367.84, 554.53 and 344.35

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Solution

The fourth proportional to 367.84, 554.53 and 344.35 is: 519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 554.53 = 344.35 : x
  2. Step 2: Convert to fraction form
    367.84/554.53 = 344.35/x
  3. Step 3: Cross multiply
    367.84x = 554.53 × 344.35
  4. Step 4: Simplify right side
    367.84x = 190,952.41
  5. Step 5: Solve for x
    x = 190,952.41/367.84
  6. Step 6: Final answer
    x = 519.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.