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Finding the Fourth Proportional to 385.54, 531.75 and 261.30

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Solution

The fourth proportional to 385.54, 531.75 and 261.30 is: 360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.54 : 531.75 = 261.30 : x
  2. Step 2: Convert to fraction form
    385.54/531.75 = 261.30/x
  3. Step 3: Cross multiply
    385.54x = 531.75 × 261.30
  4. Step 4: Simplify right side
    385.54x = 138,946.28
  5. Step 5: Solve for x
    x = 138,946.28/385.54
  6. Step 6: Final answer
    x = 360.39

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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.