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Finding the Fourth Proportional to 550.92, 760.16 and 329.82

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Solution

The fourth proportional to 550.92, 760.16 and 329.82 is: 455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.92 : 760.16 = 329.82 : x
  2. Step 2: Convert to fraction form
    550.92/760.16 = 329.82/x
  3. Step 3: Cross multiply
    550.92x = 760.16 × 329.82
  4. Step 4: Simplify right side
    550.92x = 250,714.32
  5. Step 5: Solve for x
    x = 250,714.32/550.92
  6. Step 6: Final answer
    x = 455.08

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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.