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Finding the Fourth Proportional to 360.41, 497.56 and 289.33

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Solution

The fourth proportional to 360.41, 497.56 and 289.33 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.41 : 497.56 = 289.33 : x
  2. Step 2: Convert to fraction form
    360.41/497.56 = 289.33/x
  3. Step 3: Cross multiply
    360.41x = 497.56 × 289.33
  4. Step 4: Simplify right side
    360.41x = 143,957.61
  5. Step 5: Solve for x
    x = 143,957.61/360.41
  6. Step 6: Final answer
    x = 399.43

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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.