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Finding the Fourth Proportional to 505.23, 697.23 and 295.56

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Solution

The fourth proportional to 505.23, 697.23 and 295.56 is: 407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 697.23 = 295.56 : x
  2. Step 2: Convert to fraction form
    505.23/697.23 = 295.56/x
  3. Step 3: Cross multiply
    505.23x = 697.23 × 295.56
  4. Step 4: Simplify right side
    505.23x = 206,073.30
  5. Step 5: Solve for x
    x = 206,073.30/505.23
  6. Step 6: Final answer
    x = 407.88

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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.