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Finding the Fourth Proportional to 977.63, 1,466.54 and 284.30

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Solution

The fourth proportional to 977.63, 1,466.54 and 284.30 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.63 : 1,466.54 = 284.30 : x
  2. Step 2: Convert to fraction form
    977.63/1,466.54 = 284.30/x
  3. Step 3: Cross multiply
    977.63x = 1,466.54 × 284.30
  4. Step 4: Simplify right side
    977.63x = 416,940.28
  5. Step 5: Solve for x
    x = 416,940.28/977.63
  6. Step 6: Final answer
    x = 426.48

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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.