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Finding the Fourth Proportional to 490.84, 677.16 and 304.20

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Solution

The fourth proportional to 490.84, 677.16 and 304.20 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 677.16 = 304.20 : x
  2. Step 2: Convert to fraction form
    490.84/677.16 = 304.20/x
  3. Step 3: Cross multiply
    490.84x = 677.16 × 304.20
  4. Step 4: Simplify right side
    490.84x = 205,992.07
  5. Step 5: Solve for x
    x = 205,992.07/490.84
  6. Step 6: Final answer
    x = 419.67

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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.