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Finding the Fourth Proportional to 601.07, 829.44 and 348.89

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Solution

The fourth proportional to 601.07, 829.44 and 348.89 is: 481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 829.44 = 348.89 : x
  2. Step 2: Convert to fraction form
    601.07/829.44 = 348.89/x
  3. Step 3: Cross multiply
    601.07x = 829.44 × 348.89
  4. Step 4: Simplify right side
    601.07x = 289,379.17
  5. Step 5: Solve for x
    x = 289,379.17/601.07
  6. Step 6: Final answer
    x = 481.44

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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.