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Finding the Fourth Proportional to 610.42, 842.36 and 348.42

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Solution

The fourth proportional to 610.42, 842.36 and 348.42 is: 480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.42 : 842.36 = 348.42 : x
  2. Step 2: Convert to fraction form
    610.42/842.36 = 348.42/x
  3. Step 3: Cross multiply
    610.42x = 842.36 × 348.42
  4. Step 4: Simplify right side
    610.42x = 293,495.07
  5. Step 5: Solve for x
    x = 293,495.07/610.42
  6. Step 6: Final answer
    x = 480.81

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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.