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Finding the Fourth Proportional to 357.81, 493.76 and 210.42

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Solution

The fourth proportional to 357.81, 493.76 and 210.42 is: 290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.81 : 493.76 = 210.42 : x
  2. Step 2: Convert to fraction form
    357.81/493.76 = 210.42/x
  3. Step 3: Cross multiply
    357.81x = 493.76 × 210.42
  4. Step 4: Simplify right side
    357.81x = 103,895.93
  5. Step 5: Solve for x
    x = 103,895.93/357.81
  6. Step 6: Final answer
    x = 290.37

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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.