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Finding the Fourth Proportional to 505.72, 758.14 and 351.94

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Solution

The fourth proportional to 505.72, 758.14 and 351.94 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.72 : 758.14 = 351.94 : x
  2. Step 2: Convert to fraction form
    505.72/758.14 = 351.94/x
  3. Step 3: Cross multiply
    505.72x = 758.14 × 351.94
  4. Step 4: Simplify right side
    505.72x = 266,819.79
  5. Step 5: Solve for x
    x = 266,819.79/505.72
  6. Step 6: Final answer
    x = 527.60

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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.