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Finding the Fourth Proportional to 906.27, 1,359.01 and 386.25

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Solution

The fourth proportional to 906.27, 1,359.01 and 386.25 is: 579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.27 : 1,359.01 = 386.25 : x
  2. Step 2: Convert to fraction form
    906.27/1,359.01 = 386.25/x
  3. Step 3: Cross multiply
    906.27x = 1,359.01 × 386.25
  4. Step 4: Simplify right side
    906.27x = 524,917.61
  5. Step 5: Solve for x
    x = 524,917.61/906.27
  6. Step 6: Final answer
    x = 579.21

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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.