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Finding the Fourth Proportional to 945.38, 1,418.06 and 368.25

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Solution

The fourth proportional to 945.38, 1,418.06 and 368.25 is: 552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.38 : 1,418.06 = 368.25 : x
  2. Step 2: Convert to fraction form
    945.38/1,418.06 = 368.25/x
  3. Step 3: Cross multiply
    945.38x = 1,418.06 × 368.25
  4. Step 4: Simplify right side
    945.38x = 522,201.52
  5. Step 5: Solve for x
    x = 522,201.52/945.38
  6. Step 6: Final answer
    x = 552.38

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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.