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Finding the Fourth Proportional to 534.15, 799.78 and 277.11

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Solution

The fourth proportional to 534.15, 799.78 and 277.11 is: 414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.15 : 799.78 = 277.11 : x
  2. Step 2: Convert to fraction form
    534.15/799.78 = 277.11/x
  3. Step 3: Cross multiply
    534.15x = 799.78 × 277.11
  4. Step 4: Simplify right side
    534.15x = 221,626.34
  5. Step 5: Solve for x
    x = 221,626.34/534.15
  6. Step 6: Final answer
    x = 414.91

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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.