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Finding the Fourth Proportional to 977.56, 1,466.34 and 328.36

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Solution

The fourth proportional to 977.56, 1,466.34 and 328.36 is: 492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.56 : 1,466.34 = 328.36 : x
  2. Step 2: Convert to fraction form
    977.56/1,466.34 = 328.36/x
  3. Step 3: Cross multiply
    977.56x = 1,466.34 × 328.36
  4. Step 4: Simplify right side
    977.56x = 481,487.40
  5. Step 5: Solve for x
    x = 481,487.40/977.56
  6. Step 6: Final answer
    x = 492.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.