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Finding the Fourth Proportional to 556.56, 834.21 and 419.18

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Solution

The fourth proportional to 556.56, 834.21 and 419.18 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 834.21 = 419.18 : x
  2. Step 2: Convert to fraction form
    556.56/834.21 = 419.18/x
  3. Step 3: Cross multiply
    556.56x = 834.21 × 419.18
  4. Step 4: Simplify right side
    556.56x = 349,679.98
  5. Step 5: Solve for x
    x = 349,679.98/556.56
  6. Step 6: Final answer
    x = 628.29

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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.