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Finding the Fourth Proportional to 510.99, 765.37 and 395.13

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Solution

The fourth proportional to 510.99, 765.37 and 395.13 is: 591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.99 : 765.37 = 395.13 : x
  2. Step 2: Convert to fraction form
    510.99/765.37 = 395.13/x
  3. Step 3: Cross multiply
    510.99x = 765.37 × 395.13
  4. Step 4: Simplify right side
    510.99x = 302,419.66
  5. Step 5: Solve for x
    x = 302,419.66/510.99
  6. Step 6: Final answer
    x = 591.83

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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.