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Finding the Fourth Proportional to 356, 490.92 and 258.08

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Solution

The fourth proportional to 356, 490.92 and 258.08 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356 : 490.92 = 258.08 : x
  2. Step 2: Convert to fraction form
    356/490.92 = 258.08/x
  3. Step 3: Cross multiply
    356x = 490.92 × 258.08
  4. Step 4: Simplify right side
    356x = 126,696.63
  5. Step 5: Solve for x
    x = 126,696.63/356
  6. Step 6: Final answer
    x = 355.89

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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.