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Finding the Fourth Proportional to 415.47, 573.37 and 238.46

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Solution

The fourth proportional to 415.47, 573.37 and 238.46 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.47 : 573.37 = 238.46 : x
  2. Step 2: Convert to fraction form
    415.47/573.37 = 238.46/x
  3. Step 3: Cross multiply
    415.47x = 573.37 × 238.46
  4. Step 4: Simplify right side
    415.47x = 136,725.81
  5. Step 5: Solve for x
    x = 136,725.81/415.47
  6. Step 6: Final answer
    x = 329.09

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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.