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Finding the Fourth Proportional to 618.53, 853.87 and 419.47

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Solution

The fourth proportional to 618.53, 853.87 and 419.47 is: 579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.53 : 853.87 = 419.47 : x
  2. Step 2: Convert to fraction form
    618.53/853.87 = 419.47/x
  3. Step 3: Cross multiply
    618.53x = 853.87 × 419.47
  4. Step 4: Simplify right side
    618.53x = 358,172.85
  5. Step 5: Solve for x
    x = 358,172.85/618.53
  6. Step 6: Final answer
    x = 579.07

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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.