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Finding the Fourth Proportional to 510.42, 761.15 and 445.62

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Solution

The fourth proportional to 510.42, 761.15 and 445.62 is: 664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 761.15 = 445.62 : x
  2. Step 2: Convert to fraction form
    510.42/761.15 = 445.62/x
  3. Step 3: Cross multiply
    510.42x = 761.15 × 445.62
  4. Step 4: Simplify right side
    510.42x = 339,181.43
  5. Step 5: Solve for x
    x = 339,181.43/510.42
  6. Step 6: Final answer
    x = 664.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.