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Finding the Fourth Proportional to 510.45, 761.04 and 461.25

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Solution

The fourth proportional to 510.45, 761.04 and 461.25 is: 687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.45 : 761.04 = 461.25 : x
  2. Step 2: Convert to fraction form
    510.45/761.04 = 461.25/x
  3. Step 3: Cross multiply
    510.45x = 761.04 × 461.25
  4. Step 4: Simplify right side
    510.45x = 351,029.70
  5. Step 5: Solve for x
    x = 351,029.70/510.45
  6. Step 6: Final answer
    x = 687.69

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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.