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Finding the Fourth Proportional to 510.17, 762.75 and 434.03

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Solution

The fourth proportional to 510.17, 762.75 and 434.03 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.17 : 762.75 = 434.03 : x
  2. Step 2: Convert to fraction form
    510.17/762.75 = 434.03/x
  3. Step 3: Cross multiply
    510.17x = 762.75 × 434.03
  4. Step 4: Simplify right side
    510.17x = 331,052.57
  5. Step 5: Solve for x
    x = 331,052.57/510.17
  6. Step 6: Final answer
    x = 648.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.