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Finding the Fourth Proportional to 397.90, 548.71 and 258

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Solution

The fourth proportional to 397.90, 548.71 and 258 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.90 : 548.71 = 258 : x
  2. Step 2: Convert to fraction form
    397.90/548.71 = 258/x
  3. Step 3: Cross multiply
    397.90x = 548.71 × 258
  4. Step 4: Simplify right side
    397.90x = 141,567.18
  5. Step 5: Solve for x
    x = 141,567.18/397.90
  6. Step 6: Final answer
    x = 355.79

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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.