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Finding the Fourth Proportional to 506.36, 759.92 and 455.32

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Solution

The fourth proportional to 506.36, 759.92 and 455.32 is: 683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 759.92 = 455.32 : x
  2. Step 2: Convert to fraction form
    506.36/759.92 = 455.32/x
  3. Step 3: Cross multiply
    506.36x = 759.92 × 455.32
  4. Step 4: Simplify right side
    506.36x = 346,006.77
  5. Step 5: Solve for x
    x = 346,006.77/506.36
  6. Step 6: Final answer
    x = 683.32

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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.