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Finding the Fourth Proportional to 357.45, 493.29 and 217.57

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Solution

The fourth proportional to 357.45, 493.29 and 217.57 is: 300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.45 : 493.29 = 217.57 : x
  2. Step 2: Convert to fraction form
    357.45/493.29 = 217.57/x
  3. Step 3: Cross multiply
    357.45x = 493.29 × 217.57
  4. Step 4: Simplify right side
    357.45x = 107,325.79
  5. Step 5: Solve for x
    x = 107,325.79/357.45
  6. Step 6: Final answer
    x = 300.25

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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.