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Finding the Fourth Proportional to 456.94, 630.30 and 270.37

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Solution

The fourth proportional to 456.94, 630.30 and 270.37 is: 372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.94 : 630.30 = 270.37 : x
  2. Step 2: Convert to fraction form
    456.94/630.30 = 270.37/x
  3. Step 3: Cross multiply
    456.94x = 630.30 × 270.37
  4. Step 4: Simplify right side
    456.94x = 170,414.21
  5. Step 5: Solve for x
    x = 170,414.21/456.94
  6. Step 6: Final answer
    x = 372.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.