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Finding the Fourth Proportional to 556.35, 834.66 and 419.46

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Solution

The fourth proportional to 556.35, 834.66 and 419.46 is: 629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 834.66 = 419.46 : x
  2. Step 2: Convert to fraction form
    556.35/834.66 = 419.46/x
  3. Step 3: Cross multiply
    556.35x = 834.66 × 419.46
  4. Step 4: Simplify right side
    556.35x = 350,106.48
  5. Step 5: Solve for x
    x = 350,106.48/556.35
  6. Step 6: Final answer
    x = 629.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.