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Finding the Fourth Proportional to 510.42, 765.51 and 236.25

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Solution

The fourth proportional to 510.42, 765.51 and 236.25 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 765.51 = 236.25 : x
  2. Step 2: Convert to fraction form
    510.42/765.51 = 236.25/x
  3. Step 3: Cross multiply
    510.42x = 765.51 × 236.25
  4. Step 4: Simplify right side
    510.42x = 180,850.56
  5. Step 5: Solve for x
    x = 180,850.56/510.42
  6. Step 6: Final answer
    x = 354.32

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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.