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Finding the Fourth Proportional to 484.02, 724.23 and 476.82

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Solution

The fourth proportional to 484.02, 724.23 and 476.82 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 724.23 = 476.82 : x
  2. Step 2: Convert to fraction form
    484.02/724.23 = 476.82/x
  3. Step 3: Cross multiply
    484.02x = 724.23 × 476.82
  4. Step 4: Simplify right side
    484.02x = 345,327.35
  5. Step 5: Solve for x
    x = 345,327.35/484.02
  6. Step 6: Final answer
    x = 713.46

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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.