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Finding the Fourth Proportional to 506.85, 759.75 and 259.60

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Solution

The fourth proportional to 506.85, 759.75 and 259.60 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.85 : 759.75 = 259.60 : x
  2. Step 2: Convert to fraction form
    506.85/759.75 = 259.60/x
  3. Step 3: Cross multiply
    506.85x = 759.75 × 259.60
  4. Step 4: Simplify right side
    506.85x = 197,231.10
  5. Step 5: Solve for x
    x = 197,231.10/506.85
  6. Step 6: Final answer
    x = 389.13

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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.