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Finding the Fourth Proportional to 506.69, 758.66 and 262.70

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Solution

The fourth proportional to 506.69, 758.66 and 262.70 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.69 : 758.66 = 262.70 : x
  2. Step 2: Convert to fraction form
    506.69/758.66 = 262.70/x
  3. Step 3: Cross multiply
    506.69x = 758.66 × 262.70
  4. Step 4: Simplify right side
    506.69x = 199,303.03
  5. Step 5: Solve for x
    x = 199,303.03/506.69
  6. Step 6: Final answer
    x = 393.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.