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Finding the Fourth Proportional to 944.44, 1,416.62 and 359.32

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Solution

The fourth proportional to 944.44, 1,416.62 and 359.32 is: 538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.44 : 1,416.62 = 359.32 : x
  2. Step 2: Convert to fraction form
    944.44/1,416.62 = 359.32/x
  3. Step 3: Cross multiply
    944.44x = 1,416.62 × 359.32
  4. Step 4: Simplify right side
    944.44x = 509,019.90
  5. Step 5: Solve for x
    x = 509,019.90/944.44
  6. Step 6: Final answer
    x = 538.96

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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.