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Finding the Fourth Proportional to 510.55, 764.85 and 336.70

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Solution

The fourth proportional to 510.55, 764.85 and 336.70 is: 504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.55 : 764.85 = 336.70 : x
  2. Step 2: Convert to fraction form
    510.55/764.85 = 336.70/x
  3. Step 3: Cross multiply
    510.55x = 764.85 × 336.70
  4. Step 4: Simplify right side
    510.55x = 257,525.48
  5. Step 5: Solve for x
    x = 257,525.48/510.55
  6. Step 6: Final answer
    x = 504.41

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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.