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Finding the Fourth Proportional to 493.74, 740.46 and 201.15

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Solution

The fourth proportional to 493.74, 740.46 and 201.15 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 740.46 = 201.15 : x
  2. Step 2: Convert to fraction form
    493.74/740.46 = 201.15/x
  3. Step 3: Cross multiply
    493.74x = 740.46 × 201.15
  4. Step 4: Simplify right side
    493.74x = 148,943.53
  5. Step 5: Solve for x
    x = 148,943.53/493.74
  6. Step 6: Final answer
    x = 301.66

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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.