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Finding the Fourth Proportional to 616.36, 850.24 and 383.08

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Solution

The fourth proportional to 616.36, 850.24 and 383.08 is: 528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 850.24 = 383.08 : x
  2. Step 2: Convert to fraction form
    616.36/850.24 = 383.08/x
  3. Step 3: Cross multiply
    616.36x = 850.24 × 383.08
  4. Step 4: Simplify right side
    616.36x = 325,709.94
  5. Step 5: Solve for x
    x = 325,709.94/616.36
  6. Step 6: Final answer
    x = 528.44

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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.