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Finding the Fourth Proportional to 616.82, 850.91 and 469.60

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Solution

The fourth proportional to 616.82, 850.91 and 469.60 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.82 : 850.91 = 469.60 : x
  2. Step 2: Convert to fraction form
    616.82/850.91 = 469.60/x
  3. Step 3: Cross multiply
    616.82x = 850.91 × 469.60
  4. Step 4: Simplify right side
    616.82x = 399,582.86
  5. Step 5: Solve for x
    x = 399,582.86/616.82
  6. Step 6: Final answer
    x = 647.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.