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Finding the Fourth Proportional to 943.05, 1,415.00 and 395.36

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Solution

The fourth proportional to 943.05, 1,415.00 and 395.36 is: 593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.05 : 1,415.00 = 395.36 : x
  2. Step 2: Convert to fraction form
    943.05/1,415.00 = 395.36/x
  3. Step 3: Cross multiply
    943.05x = 1,415.00 × 395.36
  4. Step 4: Simplify right side
    943.05x = 559,428.31
  5. Step 5: Solve for x
    x = 559,428.31/943.05
  6. Step 6: Final answer
    x = 593.21

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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.