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Finding the Fourth Proportional to 357.60, 493.46 and 217.78

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Solution

The fourth proportional to 357.60, 493.46 and 217.78 is: 300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.60 : 493.46 = 217.78 : x
  2. Step 2: Convert to fraction form
    357.60/493.46 = 217.78/x
  3. Step 3: Cross multiply
    357.60x = 493.46 × 217.78
  4. Step 4: Simplify right side
    357.60x = 107,465.72
  5. Step 5: Solve for x
    x = 107,465.72/357.60
  6. Step 6: Final answer
    x = 300.52

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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.