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Finding the Fourth Proportional to 510.85, 704.96 and 336.07

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Solution

The fourth proportional to 510.85, 704.96 and 336.07 is: 463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.85 : 704.96 = 336.07 : x
  2. Step 2: Convert to fraction form
    510.85/704.96 = 336.07/x
  3. Step 3: Cross multiply
    510.85x = 704.96 × 336.07
  4. Step 4: Simplify right side
    510.85x = 236,914.23
  5. Step 5: Solve for x
    x = 236,914.23/510.85
  6. Step 6: Final answer
    x = 463.76

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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.