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Finding the Fourth Proportional to 505.57, 697.69 and 295.67

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Solution

The fourth proportional to 505.57, 697.69 and 295.67 is: 408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.57 : 697.69 = 295.67 : x
  2. Step 2: Convert to fraction form
    505.57/697.69 = 295.67/x
  3. Step 3: Cross multiply
    505.57x = 697.69 × 295.67
  4. Step 4: Simplify right side
    505.57x = 206,286.00
  5. Step 5: Solve for x
    x = 206,286.00/505.57
  6. Step 6: Final answer
    x = 408.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.