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Finding the Fourth Proportional to 510.39, 704.36 and 300.50

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Solution

The fourth proportional to 510.39, 704.36 and 300.50 is: 414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 704.36 = 300.50 : x
  2. Step 2: Convert to fraction form
    510.39/704.36 = 300.50/x
  3. Step 3: Cross multiply
    510.39x = 704.36 × 300.50
  4. Step 4: Simplify right side
    510.39x = 211,660.18
  5. Step 5: Solve for x
    x = 211,660.18/510.39
  6. Step 6: Final answer
    x = 414.70

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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.