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Finding the Fourth Proportional to 537.50, 806.04 and 277.40

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Solution

The fourth proportional to 537.50, 806.04 and 277.40 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 806.04 = 277.40 : x
  2. Step 2: Convert to fraction form
    537.50/806.04 = 277.40/x
  3. Step 3: Cross multiply
    537.50x = 806.04 × 277.40
  4. Step 4: Simplify right side
    537.50x = 223,595.50
  5. Step 5: Solve for x
    x = 223,595.50/537.50
  6. Step 6: Final answer
    x = 415.99

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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.