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Finding the Fourth Proportional to 490.50, 675.79 and 438.05

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Solution

The fourth proportional to 490.50, 675.79 and 438.05 is: 603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 675.79 = 438.05 : x
  2. Step 2: Convert to fraction form
    490.50/675.79 = 438.05/x
  3. Step 3: Cross multiply
    490.50x = 675.79 × 438.05
  4. Step 4: Simplify right side
    490.50x = 296,026.43
  5. Step 5: Solve for x
    x = 296,026.43/490.50
  6. Step 6: Final answer
    x = 603.53

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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.