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Finding the Fourth Proportional to 506.58, 759.89 and 141.34

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Solution

The fourth proportional to 506.58, 759.89 and 141.34 is: 212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.58 : 759.89 = 141.34 : x
  2. Step 2: Convert to fraction form
    506.58/759.89 = 141.34/x
  3. Step 3: Cross multiply
    506.58x = 759.89 × 141.34
  4. Step 4: Simplify right side
    506.58x = 107,402.85
  5. Step 5: Solve for x
    x = 107,402.85/506.58
  6. Step 6: Final answer
    x = 212.02

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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.