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Finding the Fourth Proportional to 505.27, 696.90 and 380.94

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Solution

The fourth proportional to 505.27, 696.90 and 380.94 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.27 : 696.90 = 380.94 : x
  2. Step 2: Convert to fraction form
    505.27/696.90 = 380.94/x
  3. Step 3: Cross multiply
    505.27x = 696.90 × 380.94
  4. Step 4: Simplify right side
    505.27x = 265,477.09
  5. Step 5: Solve for x
    x = 265,477.09/505.27
  6. Step 6: Final answer
    x = 525.42

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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.