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Finding the Fourth Proportional to 537.07, 805.98 and 277.27

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Solution

The fourth proportional to 537.07, 805.98 and 277.27 is: 416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.07 : 805.98 = 277.27 : x
  2. Step 2: Convert to fraction form
    537.07/805.98 = 277.27/x
  3. Step 3: Cross multiply
    537.07x = 805.98 × 277.27
  4. Step 4: Simplify right side
    537.07x = 223,474.07
  5. Step 5: Solve for x
    x = 223,474.07/537.07
  6. Step 6: Final answer
    x = 416.10

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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.