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Finding the Fourth Proportional to 483.22, 666.44 and 296.57

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Solution

The fourth proportional to 483.22, 666.44 and 296.57 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.22 : 666.44 = 296.57 : x
  2. Step 2: Convert to fraction form
    483.22/666.44 = 296.57/x
  3. Step 3: Cross multiply
    483.22x = 666.44 × 296.57
  4. Step 4: Simplify right side
    483.22x = 197,644.63
  5. Step 5: Solve for x
    x = 197,644.63/483.22
  6. Step 6: Final answer
    x = 409.02

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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.