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Finding the Fourth Proportional to 616.33, 850.73 and 419.96

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Solution

The fourth proportional to 616.33, 850.73 and 419.96 is: 579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.33 : 850.73 = 419.96 : x
  2. Step 2: Convert to fraction form
    616.33/850.73 = 419.96/x
  3. Step 3: Cross multiply
    616.33x = 850.73 × 419.96
  4. Step 4: Simplify right side
    616.33x = 357,266.22
  5. Step 5: Solve for x
    x = 357,266.22/616.33
  6. Step 6: Final answer
    x = 579.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.