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Finding the Fourth Proportional to 510.82, 704.96 and 392.92

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Solution

The fourth proportional to 510.82, 704.96 and 392.92 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 704.96 = 392.92 : x
  2. Step 2: Convert to fraction form
    510.82/704.96 = 392.92/x
  3. Step 3: Cross multiply
    510.82x = 704.96 × 392.92
  4. Step 4: Simplify right side
    510.82x = 276,990.92
  5. Step 5: Solve for x
    x = 276,990.92/510.82
  6. Step 6: Final answer
    x = 542.25

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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.