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Finding the Fourth Proportional to 911.04, 1,365.41 and 390.43

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Solution

The fourth proportional to 911.04, 1,365.41 and 390.43 is: 585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.04 : 1,365.41 = 390.43 : x
  2. Step 2: Convert to fraction form
    911.04/1,365.41 = 390.43/x
  3. Step 3: Cross multiply
    911.04x = 1,365.41 × 390.43
  4. Step 4: Simplify right side
    911.04x = 533,097.03
  5. Step 5: Solve for x
    x = 533,097.03/911.04
  6. Step 6: Final answer
    x = 585.15

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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.