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Finding the Fourth Proportional to 510.31, 764.21 and 461

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Solution

The fourth proportional to 510.31, 764.21 and 461 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.31 : 764.21 = 461 : x
  2. Step 2: Convert to fraction form
    510.31/764.21 = 461/x
  3. Step 3: Cross multiply
    510.31x = 764.21 × 461
  4. Step 4: Simplify right side
    510.31x = 352,300.81
  5. Step 5: Solve for x
    x = 352,300.81/510.31
  6. Step 6: Final answer
    x = 690.37

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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.