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Finding the Fourth Proportional to 493.58, 681.26 and 346.56

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Solution

The fourth proportional to 493.58, 681.26 and 346.56 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.58 : 681.26 = 346.56 : x
  2. Step 2: Convert to fraction form
    493.58/681.26 = 346.56/x
  3. Step 3: Cross multiply
    493.58x = 681.26 × 346.56
  4. Step 4: Simplify right side
    493.58x = 236,095.73
  5. Step 5: Solve for x
    x = 236,095.73/493.58
  6. Step 6: Final answer
    x = 478.34

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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.