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Finding the Fourth Proportional to 977.70, 1,466.54 and 328.43

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Solution

The fourth proportional to 977.70, 1,466.54 and 328.43 is: 492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 1,466.54 = 328.43 : x
  2. Step 2: Convert to fraction form
    977.70/1,466.54 = 328.43/x
  3. Step 3: Cross multiply
    977.70x = 1,466.54 × 328.43
  4. Step 4: Simplify right side
    977.70x = 481,656.25
  5. Step 5: Solve for x
    x = 481,656.25/977.70
  6. Step 6: Final answer
    x = 492.64

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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.