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Finding the Fourth Proportional to 386.14, 532.46 and 354.93

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Solution

The fourth proportional to 386.14, 532.46 and 354.93 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.14 : 532.46 = 354.93 : x
  2. Step 2: Convert to fraction form
    386.14/532.46 = 354.93/x
  3. Step 3: Cross multiply
    386.14x = 532.46 × 354.93
  4. Step 4: Simplify right side
    386.14x = 188,986.03
  5. Step 5: Solve for x
    x = 188,986.03/386.14
  6. Step 6: Final answer
    x = 489.42

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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.