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Finding the Fourth Proportional to 977.80, 1,466.70 and 361.30

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Solution

The fourth proportional to 977.80, 1,466.70 and 361.30 is: 541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.80 : 1,466.70 = 361.30 : x
  2. Step 2: Convert to fraction form
    977.80/1,466.70 = 361.30/x
  3. Step 3: Cross multiply
    977.80x = 1,466.70 × 361.30
  4. Step 4: Simplify right side
    977.80x = 529,918.71
  5. Step 5: Solve for x
    x = 529,918.71/977.80
  6. Step 6: Final answer
    x = 541.95

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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.