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Finding the Fourth Proportional to 415.63, 573.24 and 275.77

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Solution

The fourth proportional to 415.63, 573.24 and 275.77 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.63 : 573.24 = 275.77 : x
  2. Step 2: Convert to fraction form
    415.63/573.24 = 275.77/x
  3. Step 3: Cross multiply
    415.63x = 573.24 × 275.77
  4. Step 4: Simplify right side
    415.63x = 158,082.39
  5. Step 5: Solve for x
    x = 158,082.39/415.63
  6. Step 6: Final answer
    x = 380.34

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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.