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Finding the Fourth Proportional to 616.67, 850.32 and 459.60

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Solution

The fourth proportional to 616.67, 850.32 and 459.60 is: 633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.67 : 850.32 = 459.60 : x
  2. Step 2: Convert to fraction form
    616.67/850.32 = 459.60/x
  3. Step 3: Cross multiply
    616.67x = 850.32 × 459.60
  4. Step 4: Simplify right side
    616.67x = 390,807.07
  5. Step 5: Solve for x
    x = 390,807.07/616.67
  6. Step 6: Final answer
    x = 633.74

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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.