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Finding the Fourth Proportional to 356.68, 491.62 and 258.28

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Solution

The fourth proportional to 356.68, 491.62 and 258.28 is: 355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.68 : 491.62 = 258.28 : x
  2. Step 2: Convert to fraction form
    356.68/491.62 = 258.28/x
  3. Step 3: Cross multiply
    356.68x = 491.62 × 258.28
  4. Step 4: Simplify right side
    356.68x = 126,975.61
  5. Step 5: Solve for x
    x = 126,975.61/356.68
  6. Step 6: Final answer
    x = 355.99

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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.