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Finding the Fourth Proportional to 510.38, 766.08 and 345.34

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Solution

The fourth proportional to 510.38, 766.08 and 345.34 is: 518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.38 : 766.08 = 345.34 : x
  2. Step 2: Convert to fraction form
    510.38/766.08 = 345.34/x
  3. Step 3: Cross multiply
    510.38x = 766.08 × 345.34
  4. Step 4: Simplify right side
    510.38x = 264,558.07
  5. Step 5: Solve for x
    x = 264,558.07/510.38
  6. Step 6: Final answer
    x = 518.36

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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.