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Finding the Fourth Proportional to 397.65, 548.65 and 257.77

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Solution

The fourth proportional to 397.65, 548.65 and 257.77 is: 355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.65 : 548.65 = 257.77 : x
  2. Step 2: Convert to fraction form
    397.65/548.65 = 257.77/x
  3. Step 3: Cross multiply
    397.65x = 548.65 × 257.77
  4. Step 4: Simplify right side
    397.65x = 141,425.51
  5. Step 5: Solve for x
    x = 141,425.51/397.65
  6. Step 6: Final answer
    x = 355.65

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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.