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Finding the Fourth Proportional to 506.57, 759.60 and 259.52

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Solution

The fourth proportional to 506.57, 759.60 and 259.52 is: 389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 759.60 = 259.52 : x
  2. Step 2: Convert to fraction form
    506.57/759.60 = 259.52/x
  3. Step 3: Cross multiply
    506.57x = 759.60 × 259.52
  4. Step 4: Simplify right side
    506.57x = 197,127.59
  5. Step 5: Solve for x
    x = 197,127.59/506.57
  6. Step 6: Final answer
    x = 389.15

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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.