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Finding the Fourth Proportional to 510.46, 704.44 and 289.43

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Solution

The fourth proportional to 510.46, 704.44 and 289.43 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.46 : 704.44 = 289.43 : x
  2. Step 2: Convert to fraction form
    510.46/704.44 = 289.43/x
  3. Step 3: Cross multiply
    510.46x = 704.44 × 289.43
  4. Step 4: Simplify right side
    510.46x = 203,881.82
  5. Step 5: Solve for x
    x = 203,881.82/510.46
  6. Step 6: Final answer
    x = 399.41

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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.