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Finding the Fourth Proportional to 616.08, 850.46 and 429.84

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Solution

The fourth proportional to 616.08, 850.46 and 429.84 is: 593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 850.46 = 429.84 : x
  2. Step 2: Convert to fraction form
    616.08/850.46 = 429.84/x
  3. Step 3: Cross multiply
    616.08x = 850.46 × 429.84
  4. Step 4: Simplify right side
    616.08x = 365,561.73
  5. Step 5: Solve for x
    x = 365,561.73/616.08
  6. Step 6: Final answer
    x = 593.37

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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.