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Finding the Fourth Proportional to 977.99, 1,466.71 and 328.37

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Solution

The fourth proportional to 977.99, 1,466.71 and 328.37 is: 492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.99 : 1,466.71 = 328.37 : x
  2. Step 2: Convert to fraction form
    977.99/1,466.71 = 328.37/x
  3. Step 3: Cross multiply
    977.99x = 1,466.71 × 328.37
  4. Step 4: Simplify right side
    977.99x = 481,615.41
  5. Step 5: Solve for x
    x = 481,615.41/977.99
  6. Step 6: Final answer
    x = 492.46

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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.