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Finding the Fourth Proportional to 493.60, 681.68 and 406.88

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Solution

The fourth proportional to 493.60, 681.68 and 406.88 is: 561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.60 : 681.68 = 406.88 : x
  2. Step 2: Convert to fraction form
    493.60/681.68 = 406.88/x
  3. Step 3: Cross multiply
    493.60x = 681.68 × 406.88
  4. Step 4: Simplify right side
    493.60x = 277,361.96
  5. Step 5: Solve for x
    x = 277,361.96/493.60
  6. Step 6: Final answer
    x = 561.92

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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.