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Finding the Fourth Proportional to 412.25, 569.46 and 329.93

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Solution

The fourth proportional to 412.25, 569.46 and 329.93 is: 455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 569.46 = 329.93 : x
  2. Step 2: Convert to fraction form
    412.25/569.46 = 329.93/x
  3. Step 3: Cross multiply
    412.25x = 569.46 × 329.93
  4. Step 4: Simplify right side
    412.25x = 187,881.94
  5. Step 5: Solve for x
    x = 187,881.94/412.25
  6. Step 6: Final answer
    x = 455.75

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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.