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Finding the Fourth Proportional to 556.11, 834.27 and 465.44

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Solution

The fourth proportional to 556.11, 834.27 and 465.44 is: 698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.11 : 834.27 = 465.44 : x
  2. Step 2: Convert to fraction form
    556.11/834.27 = 465.44/x
  3. Step 3: Cross multiply
    556.11x = 834.27 × 465.44
  4. Step 4: Simplify right side
    556.11x = 388,296.13
  5. Step 5: Solve for x
    x = 388,296.13/556.11
  6. Step 6: Final answer
    x = 698.24

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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.