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Finding the Fourth Proportional to 387.92, 535.54 and 264.24

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Solution

The fourth proportional to 387.92, 535.54 and 264.24 is: 364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.92 : 535.54 = 264.24 : x
  2. Step 2: Convert to fraction form
    387.92/535.54 = 264.24/x
  3. Step 3: Cross multiply
    387.92x = 535.54 × 264.24
  4. Step 4: Simplify right side
    387.92x = 141,511.09
  5. Step 5: Solve for x
    x = 141,511.09/387.92
  6. Step 6: Final answer
    x = 364.79

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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.