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Finding the Fourth Proportional to 906.36, 1,359.95 and 419.28

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Solution

The fourth proportional to 906.36, 1,359.95 and 419.28 is: 629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.36 : 1,359.95 = 419.28 : x
  2. Step 2: Convert to fraction form
    906.36/1,359.95 = 419.28/x
  3. Step 3: Cross multiply
    906.36x = 1,359.95 × 419.28
  4. Step 4: Simplify right side
    906.36x = 570,197.74
  5. Step 5: Solve for x
    x = 570,197.74/906.36
  6. Step 6: Final answer
    x = 629.11

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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.