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Finding the Fourth Proportional to 510.21, 764.51 and 407.46

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Solution

The fourth proportional to 510.21, 764.51 and 407.46 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 764.51 = 407.46 : x
  2. Step 2: Convert to fraction form
    510.21/764.51 = 407.46/x
  3. Step 3: Cross multiply
    510.21x = 764.51 × 407.46
  4. Step 4: Simplify right side
    510.21x = 311,505.21
  5. Step 5: Solve for x
    x = 311,505.21/510.21
  6. Step 6: Final answer
    x = 610.54

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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.