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Finding the Fourth Proportional to 534.09, 799.68 and 277.05

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Solution

The fourth proportional to 534.09, 799.68 and 277.05 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 799.68 = 277.05 : x
  2. Step 2: Convert to fraction form
    534.09/799.68 = 277.05/x
  3. Step 3: Cross multiply
    534.09x = 799.68 × 277.05
  4. Step 4: Simplify right side
    534.09x = 221,550.38
  5. Step 5: Solve for x
    x = 221,550.38/534.09
  6. Step 6: Final answer
    x = 414.82

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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.