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Finding the Fourth Proportional to 616.70, 850.70 and 419.88

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Solution

The fourth proportional to 616.70, 850.70 and 419.88 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.70 : 850.70 = 419.88 : x
  2. Step 2: Convert to fraction form
    616.70/850.70 = 419.88/x
  3. Step 3: Cross multiply
    616.70x = 850.70 × 419.88
  4. Step 4: Simplify right side
    616.70x = 357,191.92
  5. Step 5: Solve for x
    x = 357,191.92/616.70
  6. Step 6: Final answer
    x = 579.20

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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.