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Finding the Fourth Proportional to 510.59, 704.85 and 344.75

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Solution

The fourth proportional to 510.59, 704.85 and 344.75 is: 475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 704.85 = 344.75 : x
  2. Step 2: Convert to fraction form
    510.59/704.85 = 344.75/x
  3. Step 3: Cross multiply
    510.59x = 704.85 × 344.75
  4. Step 4: Simplify right side
    510.59x = 242,993.51
  5. Step 5: Solve for x
    x = 242,993.51/510.59
  6. Step 6: Final answer
    x = 475.91

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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.