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Finding the Fourth Proportional to 618.58, 853.49 and 342.58

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Solution

The fourth proportional to 618.58, 853.49 and 342.58 is: 472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.58 : 853.49 = 342.58 : x
  2. Step 2: Convert to fraction form
    618.58/853.49 = 342.58/x
  3. Step 3: Cross multiply
    618.58x = 853.49 × 342.58
  4. Step 4: Simplify right side
    618.58x = 292,388.60
  5. Step 5: Solve for x
    x = 292,388.60/618.58
  6. Step 6: Final answer
    x = 472.68

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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.