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Finding the Fourth Proportional to 517, 775.76 and 256.92

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Solution

The fourth proportional to 517, 775.76 and 256.92 is: 385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517 : 775.76 = 256.92 : x
  2. Step 2: Convert to fraction form
    517/775.76 = 256.92/x
  3. Step 3: Cross multiply
    517x = 775.76 × 256.92
  4. Step 4: Simplify right side
    517x = 199,308.26
  5. Step 5: Solve for x
    x = 199,308.26/517
  6. Step 6: Final answer
    x = 385.51

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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.