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Finding the Fourth Proportional to 482.76, 664.74 and 427.68

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Solution

The fourth proportional to 482.76, 664.74 and 427.68 is: 588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.76 : 664.74 = 427.68 : x
  2. Step 2: Convert to fraction form
    482.76/664.74 = 427.68/x
  3. Step 3: Cross multiply
    482.76x = 664.74 × 427.68
  4. Step 4: Simplify right side
    482.76x = 284,296.00
  5. Step 5: Solve for x
    x = 284,296.00/482.76
  6. Step 6: Final answer
    x = 588.90

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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.