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Finding the Fourth Proportional to 616.63, 850.91 and 354.66

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Solution

The fourth proportional to 616.63, 850.91 and 354.66 is: 489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.63 : 850.91 = 354.66 : x
  2. Step 2: Convert to fraction form
    616.63/850.91 = 354.66/x
  3. Step 3: Cross multiply
    616.63x = 850.91 × 354.66
  4. Step 4: Simplify right side
    616.63x = 301,783.74
  5. Step 5: Solve for x
    x = 301,783.74/616.63
  6. Step 6: Final answer
    x = 489.41

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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.