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Finding the Fourth Proportional to 490.06, 676.32 and 283.06

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Solution

The fourth proportional to 490.06, 676.32 and 283.06 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 676.32 = 283.06 : x
  2. Step 2: Convert to fraction form
    490.06/676.32 = 283.06/x
  3. Step 3: Cross multiply
    490.06x = 676.32 × 283.06
  4. Step 4: Simplify right side
    490.06x = 191,440.12
  5. Step 5: Solve for x
    x = 191,440.12/490.06
  6. Step 6: Final answer
    x = 390.64

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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.