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Finding the Fourth Proportional to 493.84, 681.92 and 346.80

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Solution

The fourth proportional to 493.84, 681.92 and 346.80 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 681.92 = 346.80 : x
  2. Step 2: Convert to fraction form
    493.84/681.92 = 346.80/x
  3. Step 3: Cross multiply
    493.84x = 681.92 × 346.80
  4. Step 4: Simplify right side
    493.84x = 236,489.86
  5. Step 5: Solve for x
    x = 236,489.86/493.84
  6. Step 6: Final answer
    x = 478.88

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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.