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Finding the Fourth Proportional to 505.57, 697.34 and 306.34

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Solution

The fourth proportional to 505.57, 697.34 and 306.34 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.57 : 697.34 = 306.34 : x
  2. Step 2: Convert to fraction form
    505.57/697.34 = 306.34/x
  3. Step 3: Cross multiply
    505.57x = 697.34 × 306.34
  4. Step 4: Simplify right side
    505.57x = 213,623.14
  5. Step 5: Solve for x
    x = 213,623.14/505.57
  6. Step 6: Final answer
    x = 422.54

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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.