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Finding the Fourth Proportional to 406.34, 606.93 and 348.73

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Solution

The fourth proportional to 406.34, 606.93 and 348.73 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.34 : 606.93 = 348.73 : x
  2. Step 2: Convert to fraction form
    406.34/606.93 = 348.73/x
  3. Step 3: Cross multiply
    406.34x = 606.93 × 348.73
  4. Step 4: Simplify right side
    406.34x = 211,654.70
  5. Step 5: Solve for x
    x = 211,654.70/406.34
  6. Step 6: Final answer
    x = 520.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.