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Finding the Fourth Proportional to 484.63, 727.62 and 462.61

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Solution

The fourth proportional to 484.63, 727.62 and 462.61 is: 694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.63 : 727.62 = 462.61 : x
  2. Step 2: Convert to fraction form
    484.63/727.62 = 462.61/x
  3. Step 3: Cross multiply
    484.63x = 727.62 × 462.61
  4. Step 4: Simplify right side
    484.63x = 336,602.47
  5. Step 5: Solve for x
    x = 336,602.47/484.63
  6. Step 6: Final answer
    x = 694.56

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