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Finding the Fourth Proportional to 412.97, 569.90 and 257.63

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Solution

The fourth proportional to 412.97, 569.90 and 257.63 is: 355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.97 : 569.90 = 257.63 : x
  2. Step 2: Convert to fraction form
    412.97/569.90 = 257.63/x
  3. Step 3: Cross multiply
    412.97x = 569.90 × 257.63
  4. Step 4: Simplify right side
    412.97x = 146,821.13
  5. Step 5: Solve for x
    x = 146,821.13/412.97
  6. Step 6: Final answer
    x = 355.53

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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.