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Finding the Fourth Proportional to 906.52, 1,359.80 and 419.44

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Solution

The fourth proportional to 906.52, 1,359.80 and 419.44 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.52 : 1,359.80 = 419.44 : x
  2. Step 2: Convert to fraction form
    906.52/1,359.80 = 419.44/x
  3. Step 3: Cross multiply
    906.52x = 1,359.80 × 419.44
  4. Step 4: Simplify right side
    906.52x = 570,354.51
  5. Step 5: Solve for x
    x = 570,354.51/906.52
  6. Step 6: Final answer
    x = 629.17

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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.