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Finding the Fourth Proportional to 616.29, 919.93 and 543.39

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Solution

The fourth proportional to 616.29, 919.93 and 543.39 is: 811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.29 : 919.93 = 543.39 : x
  2. Step 2: Convert to fraction form
    616.29/919.93 = 543.39/x
  3. Step 3: Cross multiply
    616.29x = 919.93 × 543.39
  4. Step 4: Simplify right side
    616.29x = 499,879.40
  5. Step 5: Solve for x
    x = 499,879.40/616.29
  6. Step 6: Final answer
    x = 811.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.