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Finding the Fourth Proportional to 556.84, 834 and 267.76

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Solution

The fourth proportional to 556.84, 834 and 267.76 is: 401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.84 : 834 = 267.76 : x
  2. Step 2: Convert to fraction form
    556.84/834 = 267.76/x
  3. Step 3: Cross multiply
    556.84x = 834 × 267.76
  4. Step 4: Simplify right side
    556.84x = 223,311.84
  5. Step 5: Solve for x
    x = 223,311.84/556.84
  6. Step 6: Final answer
    x = 401.03

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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.