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Finding the Fourth Proportional to 505.64, 758.22 and 262.04

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Solution

The fourth proportional to 505.64, 758.22 and 262.04 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.64 : 758.22 = 262.04 : x
  2. Step 2: Convert to fraction form
    505.64/758.22 = 262.04/x
  3. Step 3: Cross multiply
    505.64x = 758.22 × 262.04
  4. Step 4: Simplify right side
    505.64x = 198,683.97
  5. Step 5: Solve for x
    x = 198,683.97/505.64
  6. Step 6: Final answer
    x = 392.94

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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.