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Finding the Fourth Proportional to 616.04, 850.38 and 419.67

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Solution

The fourth proportional to 616.04, 850.38 and 419.67 is: 579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.04 : 850.38 = 419.67 : x
  2. Step 2: Convert to fraction form
    616.04/850.38 = 419.67/x
  3. Step 3: Cross multiply
    616.04x = 850.38 × 419.67
  4. Step 4: Simplify right side
    616.04x = 356,878.97
  5. Step 5: Solve for x
    x = 356,878.97/616.04
  6. Step 6: Final answer
    x = 579.31

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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.