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Finding the Fourth Proportional to 510, 761.18 and 504.48

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Solution

The fourth proportional to 510, 761.18 and 504.48 is: 752.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 761.18 = 504.48 : x
  2. Step 2: Convert to fraction form
    510/761.18 = 504.48/x
  3. Step 3: Cross multiply
    510x = 761.18 × 504.48
  4. Step 4: Simplify right side
    510x = 383,997.56
  5. Step 5: Solve for x
    x = 383,997.56/510
  6. Step 6: Final answer
    x = 752.94

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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.