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Finding the Fourth Proportional to 510.33, 704.16 and 289.35

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Solution

The fourth proportional to 510.33, 704.16 and 289.35 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.33 : 704.16 = 289.35 : x
  2. Step 2: Convert to fraction form
    510.33/704.16 = 289.35/x
  3. Step 3: Cross multiply
    510.33x = 704.16 × 289.35
  4. Step 4: Simplify right side
    510.33x = 203,748.70
  5. Step 5: Solve for x
    x = 203,748.70/510.33
  6. Step 6: Final answer
    x = 399.25

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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.