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Finding the Fourth Proportional to 616.85, 850.28 and 459.23

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Solution

The fourth proportional to 616.85, 850.28 and 459.23 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.85 : 850.28 = 459.23 : x
  2. Step 2: Convert to fraction form
    616.85/850.28 = 459.23/x
  3. Step 3: Cross multiply
    616.85x = 850.28 × 459.23
  4. Step 4: Simplify right side
    616.85x = 390,474.08
  5. Step 5: Solve for x
    x = 390,474.08/616.85
  6. Step 6: Final answer
    x = 633.01

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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.