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Finding the Fourth Proportional to 621.68, 932.96 and 459.84

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Solution

The fourth proportional to 621.68, 932.96 and 459.84 is: 690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.68 : 932.96 = 459.84 : x
  2. Step 2: Convert to fraction form
    621.68/932.96 = 459.84/x
  3. Step 3: Cross multiply
    621.68x = 932.96 × 459.84
  4. Step 4: Simplify right side
    621.68x = 429,012.33
  5. Step 5: Solve for x
    x = 429,012.33/621.68
  6. Step 6: Final answer
    x = 690.09

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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.