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Finding the Fourth Proportional to 975.63, 1,463.64 and 308.48

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Solution

The fourth proportional to 975.63, 1,463.64 and 308.48 is: 462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.63 : 1,463.64 = 308.48 : x
  2. Step 2: Convert to fraction form
    975.63/1,463.64 = 308.48/x
  3. Step 3: Cross multiply
    975.63x = 1,463.64 × 308.48
  4. Step 4: Simplify right side
    975.63x = 451,500.01
  5. Step 5: Solve for x
    x = 451,500.01/975.63
  6. Step 6: Final answer
    x = 462.78

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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.