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Finding the Fourth Proportional to 510.39, 764.36 and 293.31

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Solution

The fourth proportional to 510.39, 764.36 and 293.31 is: 439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 764.36 = 293.31 : x
  2. Step 2: Convert to fraction form
    510.39/764.36 = 293.31/x
  3. Step 3: Cross multiply
    510.39x = 764.36 × 293.31
  4. Step 4: Simplify right side
    510.39x = 224,194.43
  5. Step 5: Solve for x
    x = 224,194.43/510.39
  6. Step 6: Final answer
    x = 439.26

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