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Finding the Fourth Proportional to 357.82, 493.74 and 210.46

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Solution

The fourth proportional to 357.82, 493.74 and 210.46 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 493.74 = 210.46 : x
  2. Step 2: Convert to fraction form
    357.82/493.74 = 210.46/x
  3. Step 3: Cross multiply
    357.82x = 493.74 × 210.46
  4. Step 4: Simplify right side
    357.82x = 103,912.52
  5. Step 5: Solve for x
    x = 103,912.52/357.82
  6. Step 6: Final answer
    x = 290.40

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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.