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Finding the Fourth Proportional to 412.97, 569.43 and 366.39

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Solution

The fourth proportional to 412.97, 569.43 and 366.39 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.97 : 569.43 = 366.39 : x
  2. Step 2: Convert to fraction form
    412.97/569.43 = 366.39/x
  3. Step 3: Cross multiply
    412.97x = 569.43 × 366.39
  4. Step 4: Simplify right side
    412.97x = 208,633.46
  5. Step 5: Solve for x
    x = 208,633.46/412.97
  6. Step 6: Final answer
    x = 505.21

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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.