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Finding the Fourth Proportional to 977.54, 1,466.31 and 328.19

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Solution

The fourth proportional to 977.54, 1,466.31 and 328.19 is: 492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.54 : 1,466.31 = 328.19 : x
  2. Step 2: Convert to fraction form
    977.54/1,466.31 = 328.19/x
  3. Step 3: Cross multiply
    977.54x = 1,466.31 × 328.19
  4. Step 4: Simplify right side
    977.54x = 481,228.28
  5. Step 5: Solve for x
    x = 481,228.28/977.54
  6. Step 6: Final answer
    x = 492.29

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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.