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Finding the Fourth Proportional to 557.06, 834.02 and 419.67

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Solution

The fourth proportional to 557.06, 834.02 and 419.67 is: 628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.06 : 834.02 = 419.67 : x
  2. Step 2: Convert to fraction form
    557.06/834.02 = 419.67/x
  3. Step 3: Cross multiply
    557.06x = 834.02 × 419.67
  4. Step 4: Simplify right side
    557.06x = 350,014.22
  5. Step 5: Solve for x
    x = 350,014.22/557.06
  6. Step 6: Final answer
    x = 628.33

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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.