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Finding the Fourth Proportional to 415.12, 573.05 and 275.30

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Solution

The fourth proportional to 415.12, 573.05 and 275.30 is: 380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.12 : 573.05 = 275.30 : x
  2. Step 2: Convert to fraction form
    415.12/573.05 = 275.30/x
  3. Step 3: Cross multiply
    415.12x = 573.05 × 275.30
  4. Step 4: Simplify right side
    415.12x = 157,760.67
  5. Step 5: Solve for x
    x = 157,760.67/415.12
  6. Step 6: Final answer
    x = 380.04

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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.