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Finding the Fourth Proportional to 415.33, 573.01 and 304.61

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Solution

The fourth proportional to 415.33, 573.01 and 304.61 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.33 : 573.01 = 304.61 : x
  2. Step 2: Convert to fraction form
    415.33/573.01 = 304.61/x
  3. Step 3: Cross multiply
    415.33x = 573.01 × 304.61
  4. Step 4: Simplify right side
    415.33x = 174,540.95
  5. Step 5: Solve for x
    x = 174,540.95/415.33
  6. Step 6: Final answer
    x = 420.25

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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.