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Finding the Fourth Proportional to 510.24, 763.74 and 388.02

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Solution

The fourth proportional to 510.24, 763.74 and 388.02 is: 580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 763.74 = 388.02 : x
  2. Step 2: Convert to fraction form
    510.24/763.74 = 388.02/x
  3. Step 3: Cross multiply
    510.24x = 763.74 × 388.02
  4. Step 4: Simplify right side
    510.24x = 296,346.39
  5. Step 5: Solve for x
    x = 296,346.39/510.24
  6. Step 6: Final answer
    x = 580.80

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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.