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Finding the Fourth Proportional to 484.02, 724.82 and 301.77

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Solution

The fourth proportional to 484.02, 724.82 and 301.77 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 724.82 = 301.77 : x
  2. Step 2: Convert to fraction form
    484.02/724.82 = 301.77/x
  3. Step 3: Cross multiply
    484.02x = 724.82 × 301.77
  4. Step 4: Simplify right side
    484.02x = 218,727.42
  5. Step 5: Solve for x
    x = 218,727.42/484.02
  6. Step 6: Final answer
    x = 451.90

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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.