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Finding the Fourth Proportional to 293.22, 436.92 and 260.91

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Solution

The fourth proportional to 293.22, 436.92 and 260.91 is: 388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 436.92 = 260.91 : x
  2. Step 2: Convert to fraction form
    293.22/436.92 = 260.91/x
  3. Step 3: Cross multiply
    293.22x = 436.92 × 260.91
  4. Step 4: Simplify right side
    293.22x = 113,995.82
  5. Step 5: Solve for x
    x = 113,995.82/293.22
  6. Step 6: Final answer
    x = 388.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.