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Finding the Fourth Proportional to 357.77, 493.47 and 217.90

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Solution

The fourth proportional to 357.77, 493.47 and 217.90 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.77 : 493.47 = 217.90 : x
  2. Step 2: Convert to fraction form
    357.77/493.47 = 217.90/x
  3. Step 3: Cross multiply
    357.77x = 493.47 × 217.90
  4. Step 4: Simplify right side
    357.77x = 107,526.65
  5. Step 5: Solve for x
    x = 107,526.65/357.77
  6. Step 6: Final answer
    x = 300.54

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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.