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Finding the Fourth Proportional to 517.52, 775.81 and 335

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Solution

The fourth proportional to 517.52, 775.81 and 335 is: 502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 775.81 = 335 : x
  2. Step 2: Convert to fraction form
    517.52/775.81 = 335/x
  3. Step 3: Cross multiply
    517.52x = 775.81 × 335
  4. Step 4: Simplify right side
    517.52x = 259,896.35
  5. Step 5: Solve for x
    x = 259,896.35/517.52
  6. Step 6: Final answer
    x = 502.20

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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.