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Finding the Fourth Proportional to 668.35, 1,004.30 and 360.42

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Solution

The fourth proportional to 668.35, 1,004.30 and 360.42 is: 541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.35 : 1,004.30 = 360.42 : x
  2. Step 2: Convert to fraction form
    668.35/1,004.30 = 360.42/x
  3. Step 3: Cross multiply
    668.35x = 1,004.30 × 360.42
  4. Step 4: Simplify right side
    668.35x = 361,974.06
  5. Step 5: Solve for x
    x = 361,974.06/668.35
  6. Step 6: Final answer
    x = 541.59

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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.