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Finding the Fourth Proportional to 478.64, 716.40 and 296.18

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Solution

The fourth proportional to 478.64, 716.40 and 296.18 is: 443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.64 : 716.40 = 296.18 : x
  2. Step 2: Convert to fraction form
    478.64/716.40 = 296.18/x
  3. Step 3: Cross multiply
    478.64x = 716.40 × 296.18
  4. Step 4: Simplify right side
    478.64x = 212,183.35
  5. Step 5: Solve for x
    x = 212,183.35/478.64
  6. Step 6: Final answer
    x = 443.30

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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.