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Finding the Fourth Proportional to 510.20, 703.82 and 323.64

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Solution

The fourth proportional to 510.20, 703.82 and 323.64 is: 446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 703.82 = 323.64 : x
  2. Step 2: Convert to fraction form
    510.20/703.82 = 323.64/x
  3. Step 3: Cross multiply
    510.20x = 703.82 × 323.64
  4. Step 4: Simplify right side
    510.20x = 227,784.30
  5. Step 5: Solve for x
    x = 227,784.30/510.20
  6. Step 6: Final answer
    x = 446.46

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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.