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Finding the Fourth Proportional to 906.72, 1,360.08 and 419.73

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Solution

The fourth proportional to 906.72, 1,360.08 and 419.73 is: 629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.72 : 1,360.08 = 419.73 : x
  2. Step 2: Convert to fraction form
    906.72/1,360.08 = 419.73/x
  3. Step 3: Cross multiply
    906.72x = 1,360.08 × 419.73
  4. Step 4: Simplify right side
    906.72x = 570,866.38
  5. Step 5: Solve for x
    x = 570,866.38/906.72
  6. Step 6: Final answer
    x = 629.60

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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.