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Finding the Fourth Proportional to 360.70, 538.18 and 299.95

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Solution

The fourth proportional to 360.70, 538.18 and 299.95 is: 447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 538.18 = 299.95 : x
  2. Step 2: Convert to fraction form
    360.70/538.18 = 299.95/x
  3. Step 3: Cross multiply
    360.70x = 538.18 × 299.95
  4. Step 4: Simplify right side
    360.70x = 161,425.00
  5. Step 5: Solve for x
    x = 161,425.00/360.70
  6. Step 6: Final answer
    x = 447.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.