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Finding the Fourth Proportional to 510.59, 764.67 and 347.78

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Solution

The fourth proportional to 510.59, 764.67 and 347.78 is: 520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 764.67 = 347.78 : x
  2. Step 2: Convert to fraction form
    510.59/764.67 = 347.78/x
  3. Step 3: Cross multiply
    510.59x = 764.67 × 347.78
  4. Step 4: Simplify right side
    510.59x = 265,936.93
  5. Step 5: Solve for x
    x = 265,936.93/510.59
  6. Step 6: Final answer
    x = 520.84

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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.