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Finding the Fourth Proportional to 490.06, 735.09 and 286.05

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Solution

The fourth proportional to 490.06, 735.09 and 286.05 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 735.09 = 286.05 : x
  2. Step 2: Convert to fraction form
    490.06/735.09 = 286.05/x
  3. Step 3: Cross multiply
    490.06x = 735.09 × 286.05
  4. Step 4: Simplify right side
    490.06x = 210,271.06
  5. Step 5: Solve for x
    x = 210,271.06/490.06
  6. Step 6: Final answer
    x = 429.08

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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.