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Finding the Fourth Proportional to 510.14, 703.68 and 444.80

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Solution

The fourth proportional to 510.14, 703.68 and 444.80 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 703.68 = 444.80 : x
  2. Step 2: Convert to fraction form
    510.14/703.68 = 444.80/x
  3. Step 3: Cross multiply
    510.14x = 703.68 × 444.80
  4. Step 4: Simplify right side
    510.14x = 312,996.86
  5. Step 5: Solve for x
    x = 312,996.86/510.14
  6. Step 6: Final answer
    x = 613.55

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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.