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Finding the Fourth Proportional to 606.96, 910.56 and 282.24

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Solution

The fourth proportional to 606.96, 910.56 and 282.24 is: 423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.96 : 910.56 = 282.24 : x
  2. Step 2: Convert to fraction form
    606.96/910.56 = 282.24/x
  3. Step 3: Cross multiply
    606.96x = 910.56 × 282.24
  4. Step 4: Simplify right side
    606.96x = 256,996.45
  5. Step 5: Solve for x
    x = 256,996.45/606.96
  6. Step 6: Final answer
    x = 423.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.