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Finding the Fourth Proportional to 510.16, 704.03 and 289.12

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Solution

The fourth proportional to 510.16, 704.03 and 289.12 is: 398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.16 : 704.03 = 289.12 : x
  2. Step 2: Convert to fraction form
    510.16/704.03 = 289.12/x
  3. Step 3: Cross multiply
    510.16x = 704.03 × 289.12
  4. Step 4: Simplify right side
    510.16x = 203,549.15
  5. Step 5: Solve for x
    x = 203,549.15/510.16
  6. Step 6: Final answer
    x = 398.99

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Why These Related Problems?

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