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Finding the Fourth Proportional to 493.80, 740.96 and 301

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Solution

The fourth proportional to 493.80, 740.96 and 301 is: 451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 740.96 = 301 : x
  2. Step 2: Convert to fraction form
    493.80/740.96 = 301/x
  3. Step 3: Cross multiply
    493.80x = 740.96 × 301
  4. Step 4: Simplify right side
    493.80x = 223,028.96
  5. Step 5: Solve for x
    x = 223,028.96/493.80
  6. Step 6: Final answer
    x = 451.66

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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.