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Finding the Fourth Proportional to 510.59, 704.96 and 314.37

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Solution

The fourth proportional to 510.59, 704.96 and 314.37 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 704.96 = 314.37 : x
  2. Step 2: Convert to fraction form
    510.59/704.96 = 314.37/x
  3. Step 3: Cross multiply
    510.59x = 704.96 × 314.37
  4. Step 4: Simplify right side
    510.59x = 221,616.70
  5. Step 5: Solve for x
    x = 221,616.70/510.59
  6. Step 6: Final answer
    x = 434.04

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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.