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Finding the Fourth Proportional to 939.78, 1,410.33 and 362.64

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Solution

The fourth proportional to 939.78, 1,410.33 and 362.64 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.78 : 1,410.33 = 362.64 : x
  2. Step 2: Convert to fraction form
    939.78/1,410.33 = 362.64/x
  3. Step 3: Cross multiply
    939.78x = 1,410.33 × 362.64
  4. Step 4: Simplify right side
    939.78x = 511,442.07
  5. Step 5: Solve for x
    x = 511,442.07/939.78
  6. Step 6: Final answer
    x = 544.21

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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.