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Finding the Fourth Proportional to 616.65, 850.97 and 336.89

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Solution

The fourth proportional to 616.65, 850.97 and 336.89 is: 464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.65 : 850.97 = 336.89 : x
  2. Step 2: Convert to fraction form
    616.65/850.97 = 336.89/x
  3. Step 3: Cross multiply
    616.65x = 850.97 × 336.89
  4. Step 4: Simplify right side
    616.65x = 286,683.73
  5. Step 5: Solve for x
    x = 286,683.73/616.65
  6. Step 6: Final answer
    x = 464.91

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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.