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Finding the Fourth Proportional to 510.67, 765.91 and 202.42

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Solution

The fourth proportional to 510.67, 765.91 and 202.42 is: 303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.67 : 765.91 = 202.42 : x
  2. Step 2: Convert to fraction form
    510.67/765.91 = 202.42/x
  3. Step 3: Cross multiply
    510.67x = 765.91 × 202.42
  4. Step 4: Simplify right side
    510.67x = 155,035.50
  5. Step 5: Solve for x
    x = 155,035.50/510.67
  6. Step 6: Final answer
    x = 303.59

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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.