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Finding the Fourth Proportional to 357.71, 493.20 and 277.97

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Solution

The fourth proportional to 357.71, 493.20 and 277.97 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.71 : 493.20 = 277.97 : x
  2. Step 2: Convert to fraction form
    357.71/493.20 = 277.97/x
  3. Step 3: Cross multiply
    357.71x = 493.20 × 277.97
  4. Step 4: Simplify right side
    357.71x = 137,097.28
  5. Step 5: Solve for x
    x = 137,097.28/357.71
  6. Step 6: Final answer
    x = 383.27

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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.