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Finding the Fourth Proportional to 493.71, 740.80 and 201.42

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Solution

The fourth proportional to 493.71, 740.80 and 201.42 is: 302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 740.80 = 201.42 : x
  2. Step 2: Convert to fraction form
    493.71/740.80 = 201.42/x
  3. Step 3: Cross multiply
    493.71x = 740.80 × 201.42
  4. Step 4: Simplify right side
    493.71x = 149,212.19
  5. Step 5: Solve for x
    x = 149,212.19/493.71
  6. Step 6: Final answer
    x = 302.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.