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Finding the Fourth Proportional to 506.08, 759.12 and 419.68

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Solution

The fourth proportional to 506.08, 759.12 and 419.68 is: 629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.08 : 759.12 = 419.68 : x
  2. Step 2: Convert to fraction form
    506.08/759.12 = 419.68/x
  3. Step 3: Cross multiply
    506.08x = 759.12 × 419.68
  4. Step 4: Simplify right side
    506.08x = 318,587.48
  5. Step 5: Solve for x
    x = 318,587.48/506.08
  6. Step 6: Final answer
    x = 629.52

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Why These Related Problems?

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