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Finding the Fourth Proportional to 490.52, 676.95 and 304.02

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Solution

The fourth proportional to 490.52, 676.95 and 304.02 is: 419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.52 : 676.95 = 304.02 : x
  2. Step 2: Convert to fraction form
    490.52/676.95 = 304.02/x
  3. Step 3: Cross multiply
    490.52x = 676.95 × 304.02
  4. Step 4: Simplify right side
    490.52x = 205,806.34
  5. Step 5: Solve for x
    x = 205,806.34/490.52
  6. Step 6: Final answer
    x = 419.57

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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.