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Finding the Fourth Proportional to 537.26, 805.65 and 259.75

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Solution

The fourth proportional to 537.26, 805.65 and 259.75 is: 389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.26 : 805.65 = 259.75 : x
  2. Step 2: Convert to fraction form
    537.26/805.65 = 259.75/x
  3. Step 3: Cross multiply
    537.26x = 805.65 × 259.75
  4. Step 4: Simplify right side
    537.26x = 209,269.08
  5. Step 5: Solve for x
    x = 209,269.08/537.26
  6. Step 6: Final answer
    x = 389.51

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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.