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Finding the Fourth Proportional to 385.39, 531.34 and 260.96

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Solution

The fourth proportional to 385.39, 531.34 and 260.96 is: 359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.39 : 531.34 = 260.96 : x
  2. Step 2: Convert to fraction form
    385.39/531.34 = 260.96/x
  3. Step 3: Cross multiply
    385.39x = 531.34 × 260.96
  4. Step 4: Simplify right side
    385.39x = 138,658.49
  5. Step 5: Solve for x
    x = 138,658.49/385.39
  6. Step 6: Final answer
    x = 359.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.