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Finding the Fourth Proportional to 510.19, 762.95 and 380.28

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Solution

The fourth proportional to 510.19, 762.95 and 380.28 is: 568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.19 : 762.95 = 380.28 : x
  2. Step 2: Convert to fraction form
    510.19/762.95 = 380.28/x
  3. Step 3: Cross multiply
    510.19x = 762.95 × 380.28
  4. Step 4: Simplify right side
    510.19x = 290,131.29
  5. Step 5: Solve for x
    x = 290,131.29/510.19
  6. Step 6: Final answer
    x = 568.68

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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.