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Finding the Fourth Proportional to 944.02, 1,416.03 and 327.72

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Solution

The fourth proportional to 944.02, 1,416.03 and 327.72 is: 491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.02 : 1,416.03 = 327.72 : x
  2. Step 2: Convert to fraction form
    944.02/1,416.03 = 327.72/x
  3. Step 3: Cross multiply
    944.02x = 1,416.03 × 327.72
  4. Step 4: Simplify right side
    944.02x = 464,064.07
  5. Step 5: Solve for x
    x = 464,064.07/944.02
  6. Step 6: Final answer
    x = 491.58

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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.