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Finding the Fourth Proportional to 510.36, 765.66 and 250.32

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Solution

The fourth proportional to 510.36, 765.66 and 250.32 is: 375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 765.66 = 250.32 : x
  2. Step 2: Convert to fraction form
    510.36/765.66 = 250.32/x
  3. Step 3: Cross multiply
    510.36x = 765.66 × 250.32
  4. Step 4: Simplify right side
    510.36x = 191,660.01
  5. Step 5: Solve for x
    x = 191,660.01/510.36
  6. Step 6: Final answer
    x = 375.54

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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.