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Finding the Fourth Proportional to 556.80, 834.58 and 267.63

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Solution

The fourth proportional to 556.80, 834.58 and 267.63 is: 401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 834.58 = 267.63 : x
  2. Step 2: Convert to fraction form
    556.80/834.58 = 267.63/x
  3. Step 3: Cross multiply
    556.80x = 834.58 × 267.63
  4. Step 4: Simplify right side
    556.80x = 223,358.65
  5. Step 5: Solve for x
    x = 223,358.65/556.80
  6. Step 6: Final answer
    x = 401.15

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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.