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Finding the Fourth Proportional to 1,478.32, 2,217.48 and 382.70

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Solution

The fourth proportional to 1,478.32, 2,217.48 and 382.70 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.32 : 2,217.48 = 382.70 : x
  2. Step 2: Convert to fraction form
    1,478.32/2,217.48 = 382.70/x
  3. Step 3: Cross multiply
    1,478.32x = 2,217.48 × 382.70
  4. Step 4: Simplify right side
    1,478.32x = 848,629.60
  5. Step 5: Solve for x
    x = 848,629.60/1,478.32
  6. Step 6: Final answer
    x = 574.05

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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.