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Finding the Fourth Proportional to 415.44, 573.58 and 258.31

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Solution

The fourth proportional to 415.44, 573.58 and 258.31 is: 356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 573.58 = 258.31 : x
  2. Step 2: Convert to fraction form
    415.44/573.58 = 258.31/x
  3. Step 3: Cross multiply
    415.44x = 573.58 × 258.31
  4. Step 4: Simplify right side
    415.44x = 148,162.49
  5. Step 5: Solve for x
    x = 148,162.49/415.44
  6. Step 6: Final answer
    x = 356.64

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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.