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Finding the Fourth Proportional to 623.86, 932.97 and 467.80

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Solution

The fourth proportional to 623.86, 932.97 and 467.80 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.86 : 932.97 = 467.80 : x
  2. Step 2: Convert to fraction form
    623.86/932.97 = 467.80/x
  3. Step 3: Cross multiply
    623.86x = 932.97 × 467.80
  4. Step 4: Simplify right side
    623.86x = 436,443.37
  5. Step 5: Solve for x
    x = 436,443.37/623.86
  6. Step 6: Final answer
    x = 699.59

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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.