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Finding the Fourth Proportional to 510.04, 763.84 and 387.33

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Solution

The fourth proportional to 510.04, 763.84 and 387.33 is: 580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 763.84 = 387.33 : x
  2. Step 2: Convert to fraction form
    510.04/763.84 = 387.33/x
  3. Step 3: Cross multiply
    510.04x = 763.84 × 387.33
  4. Step 4: Simplify right side
    510.04x = 295,858.15
  5. Step 5: Solve for x
    x = 295,858.15/510.04
  6. Step 6: Final answer
    x = 580.07

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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.