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Finding the Fourth Proportional to 510.81, 704.73 and 289.60

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Solution

The fourth proportional to 510.81, 704.73 and 289.60 is: 399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 704.73 = 289.60 : x
  2. Step 2: Convert to fraction form
    510.81/704.73 = 289.60/x
  3. Step 3: Cross multiply
    510.81x = 704.73 × 289.60
  4. Step 4: Simplify right side
    510.81x = 204,089.81
  5. Step 5: Solve for x
    x = 204,089.81/510.81
  6. Step 6: Final answer
    x = 399.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.