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Finding the Fourth Proportional to 537.69, 805.99 and 208.54

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Solution

The fourth proportional to 537.69, 805.99 and 208.54 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.69 : 805.99 = 208.54 : x
  2. Step 2: Convert to fraction form
    537.69/805.99 = 208.54/x
  3. Step 3: Cross multiply
    537.69x = 805.99 × 208.54
  4. Step 4: Simplify right side
    537.69x = 168,081.74
  5. Step 5: Solve for x
    x = 168,081.74/537.69
  6. Step 6: Final answer
    x = 312.60

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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.