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Finding the Fourth Proportional to 941.07, 1,412.27 and 386.22

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Solution

The fourth proportional to 941.07, 1,412.27 and 386.22 is: 579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.07 : 1,412.27 = 386.22 : x
  2. Step 2: Convert to fraction form
    941.07/1,412.27 = 386.22/x
  3. Step 3: Cross multiply
    941.07x = 1,412.27 × 386.22
  4. Step 4: Simplify right side
    941.07x = 545,444.99
  5. Step 5: Solve for x
    x = 545,444.99/941.07
  6. Step 6: Final answer
    x = 579.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.