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Finding the Fourth Proportional to 510, 703.78 and 323.42

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Solution

The fourth proportional to 510, 703.78 and 323.42 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 703.78 = 323.42 : x
  2. Step 2: Convert to fraction form
    510/703.78 = 323.42/x
  3. Step 3: Cross multiply
    510x = 703.78 × 323.42
  4. Step 4: Simplify right side
    510x = 227,616.53
  5. Step 5: Solve for x
    x = 227,616.53/510
  6. Step 6: Final answer
    x = 446.31

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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.