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Finding the Fourth Proportional to 510.73, 704.97 and 314.30

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Solution

The fourth proportional to 510.73, 704.97 and 314.30 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.73 : 704.97 = 314.30 : x
  2. Step 2: Convert to fraction form
    510.73/704.97 = 314.30/x
  3. Step 3: Cross multiply
    510.73x = 704.97 × 314.30
  4. Step 4: Simplify right side
    510.73x = 221,573.83
  5. Step 5: Solve for x
    x = 221,573.83/510.73
  6. Step 6: Final answer
    x = 433.84

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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.