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Finding the Fourth Proportional to 415.46, 573.14 and 258.04

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Solution

The fourth proportional to 415.46, 573.14 and 258.04 is: 355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.46 : 573.14 = 258.04 : x
  2. Step 2: Convert to fraction form
    415.46/573.14 = 258.04/x
  3. Step 3: Cross multiply
    415.46x = 573.14 × 258.04
  4. Step 4: Simplify right side
    415.46x = 147,893.05
  5. Step 5: Solve for x
    x = 147,893.05/415.46
  6. Step 6: Final answer
    x = 355.97

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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.