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Finding the Fourth Proportional to 623.20, 860.88 and 493.84

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Solution

The fourth proportional to 623.20, 860.88 and 493.84 is: 682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.20 : 860.88 = 493.84 : x
  2. Step 2: Convert to fraction form
    623.20/860.88 = 493.84/x
  3. Step 3: Cross multiply
    623.20x = 860.88 × 493.84
  4. Step 4: Simplify right side
    623.20x = 425,136.98
  5. Step 5: Solve for x
    x = 425,136.98/623.20
  6. Step 6: Final answer
    x = 682.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.