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Finding the Fourth Proportional to 415.76, 573.67 and 258.44

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Solution

The fourth proportional to 415.76, 573.67 and 258.44 is: 356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 573.67 = 258.44 : x
  2. Step 2: Convert to fraction form
    415.76/573.67 = 258.44/x
  3. Step 3: Cross multiply
    415.76x = 573.67 × 258.44
  4. Step 4: Simplify right side
    415.76x = 148,256.41
  5. Step 5: Solve for x
    x = 148,256.41/415.76
  6. Step 6: Final answer
    x = 356.59

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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.