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Finding the Fourth Proportional to 505.70, 757.61 and 288.62

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Solution

The fourth proportional to 505.70, 757.61 and 288.62 is: 432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.70 : 757.61 = 288.62 : x
  2. Step 2: Convert to fraction form
    505.70/757.61 = 288.62/x
  3. Step 3: Cross multiply
    505.70x = 757.61 × 288.62
  4. Step 4: Simplify right side
    505.70x = 218,659.96
  5. Step 5: Solve for x
    x = 218,659.96/505.70
  6. Step 6: Final answer
    x = 432.39

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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.