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Finding the Fourth Proportional to 607.67, 911.18 and 538.41

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Solution

The fourth proportional to 607.67, 911.18 and 538.41 is: 807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.67 : 911.18 = 538.41 : x
  2. Step 2: Convert to fraction form
    607.67/911.18 = 538.41/x
  3. Step 3: Cross multiply
    607.67x = 911.18 × 538.41
  4. Step 4: Simplify right side
    607.67x = 490,593.19
  5. Step 5: Solve for x
    x = 490,593.19/607.67
  6. Step 6: Final answer
    x = 807.34

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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.