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Finding the Fourth Proportional to 510.50, 763.41 and 380.59

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Solution

The fourth proportional to 510.50, 763.41 and 380.59 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 763.41 = 380.59 : x
  2. Step 2: Convert to fraction form
    510.50/763.41 = 380.59/x
  3. Step 3: Cross multiply
    510.50x = 763.41 × 380.59
  4. Step 4: Simplify right side
    510.50x = 290,546.21
  5. Step 5: Solve for x
    x = 290,546.21/510.50
  6. Step 6: Final answer
    x = 569.14

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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.