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Finding the Fourth Proportional to 602.76, 832.08 and 493.41

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Solution

The fourth proportional to 602.76, 832.08 and 493.41 is: 681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 832.08 = 493.41 : x
  2. Step 2: Convert to fraction form
    602.76/832.08 = 493.41/x
  3. Step 3: Cross multiply
    602.76x = 832.08 × 493.41
  4. Step 4: Simplify right side
    602.76x = 410,556.59
  5. Step 5: Solve for x
    x = 410,556.59/602.76
  6. Step 6: Final answer
    x = 681.13

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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.