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Finding the Fourth Proportional to 415.20, 573.08 and 275.25

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Solution

The fourth proportional to 415.20, 573.08 and 275.25 is: 379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 573.08 = 275.25 : x
  2. Step 2: Convert to fraction form
    415.20/573.08 = 275.25/x
  3. Step 3: Cross multiply
    415.20x = 573.08 × 275.25
  4. Step 4: Simplify right side
    415.20x = 157,740.27
  5. Step 5: Solve for x
    x = 157,740.27/415.20
  6. Step 6: Final answer
    x = 379.91

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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.