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Finding the Fourth Proportional to 415.85, 573.77 and 258.24

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Solution

The fourth proportional to 415.85, 573.77 and 258.24 is: 356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.85 : 573.77 = 258.24 : x
  2. Step 2: Convert to fraction form
    415.85/573.77 = 258.24/x
  3. Step 3: Cross multiply
    415.85x = 573.77 × 258.24
  4. Step 4: Simplify right side
    415.85x = 148,171.01
  5. Step 5: Solve for x
    x = 148,171.01/415.85
  6. Step 6: Final answer
    x = 356.31

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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.