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Finding the Fourth Proportional to 944.35, 1,416.68 and 328.42

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Solution

The fourth proportional to 944.35, 1,416.68 and 328.42 is: 492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.35 : 1,416.68 = 328.42 : x
  2. Step 2: Convert to fraction form
    944.35/1,416.68 = 328.42/x
  3. Step 3: Cross multiply
    944.35x = 1,416.68 × 328.42
  4. Step 4: Simplify right side
    944.35x = 465,260.86
  5. Step 5: Solve for x
    x = 465,260.86/944.35
  6. Step 6: Final answer
    x = 492.68

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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.