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Finding the Fourth Proportional to 412.67, 569.36 and 257.51

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Solution

The fourth proportional to 412.67, 569.36 and 257.51 is: 355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.67 : 569.36 = 257.51 : x
  2. Step 2: Convert to fraction form
    412.67/569.36 = 257.51/x
  3. Step 3: Cross multiply
    412.67x = 569.36 × 257.51
  4. Step 4: Simplify right side
    412.67x = 146,614.61
  5. Step 5: Solve for x
    x = 146,614.61/412.67
  6. Step 6: Final answer
    x = 355.28

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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.