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Finding the Fourth Proportional to 415.96, 573.70 and 266.52

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Solution

The fourth proportional to 415.96, 573.70 and 266.52 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 573.70 = 266.52 : x
  2. Step 2: Convert to fraction form
    415.96/573.70 = 266.52/x
  3. Step 3: Cross multiply
    415.96x = 573.70 × 266.52
  4. Step 4: Simplify right side
    415.96x = 152,902.52
  5. Step 5: Solve for x
    x = 152,902.52/415.96
  6. Step 6: Final answer
    x = 367.59

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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.