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Finding the Fourth Proportional to 380.55, 573.42 and 316.95

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Solution

The fourth proportional to 380.55, 573.42 and 316.95 is: 477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.55 : 573.42 = 316.95 : x
  2. Step 2: Convert to fraction form
    380.55/573.42 = 316.95/x
  3. Step 3: Cross multiply
    380.55x = 573.42 × 316.95
  4. Step 4: Simplify right side
    380.55x = 181,745.47
  5. Step 5: Solve for x
    x = 181,745.47/380.55
  6. Step 6: Final answer
    x = 477.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.