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Finding the Fourth Proportional to 510.45, 704.24 and 323.91

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Solution

The fourth proportional to 510.45, 704.24 and 323.91 is: 446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.45 : 704.24 = 323.91 : x
  2. Step 2: Convert to fraction form
    510.45/704.24 = 323.91/x
  3. Step 3: Cross multiply
    510.45x = 704.24 × 323.91
  4. Step 4: Simplify right side
    510.45x = 228,108.76
  5. Step 5: Solve for x
    x = 228,108.76/510.45
  6. Step 6: Final answer
    x = 446.88

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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.