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Finding the Fourth Proportional to 656.54, 983.83 and 331.50

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Solution

The fourth proportional to 656.54, 983.83 and 331.50 is: 496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.54 : 983.83 = 331.50 : x
  2. Step 2: Convert to fraction form
    656.54/983.83 = 331.50/x
  3. Step 3: Cross multiply
    656.54x = 983.83 × 331.50
  4. Step 4: Simplify right side
    656.54x = 326,139.65
  5. Step 5: Solve for x
    x = 326,139.65/656.54
  6. Step 6: Final answer
    x = 496.76

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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.