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Finding the Fourth Proportional to 510.04, 704.36 and 323.88

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Solution

The fourth proportional to 510.04, 704.36 and 323.88 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 704.36 = 323.88 : x
  2. Step 2: Convert to fraction form
    510.04/704.36 = 323.88/x
  3. Step 3: Cross multiply
    510.04x = 704.36 × 323.88
  4. Step 4: Simplify right side
    510.04x = 228,128.12
  5. Step 5: Solve for x
    x = 228,128.12/510.04
  6. Step 6: Final answer
    x = 447.27

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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.