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Finding the Fourth Proportional to 369.69, 554.14 and 278.11

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Solution

The fourth proportional to 369.69, 554.14 and 278.11 is: 416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.69 : 554.14 = 278.11 : x
  2. Step 2: Convert to fraction form
    369.69/554.14 = 278.11/x
  3. Step 3: Cross multiply
    369.69x = 554.14 × 278.11
  4. Step 4: Simplify right side
    369.69x = 154,111.88
  5. Step 5: Solve for x
    x = 154,111.88/369.69
  6. Step 6: Final answer
    x = 416.87

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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.