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Finding the Fourth Proportional to 356.74, 491.84 and 258.46

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Solution

The fourth proportional to 356.74, 491.84 and 258.46 is: 356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 491.84 = 258.46 : x
  2. Step 2: Convert to fraction form
    356.74/491.84 = 258.46/x
  3. Step 3: Cross multiply
    356.74x = 491.84 × 258.46
  4. Step 4: Simplify right side
    356.74x = 127,120.97
  5. Step 5: Solve for x
    x = 127,120.97/356.74
  6. Step 6: Final answer
    x = 356.34

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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.