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Finding the Fourth Proportional to 607.37, 911.66 and 412.38

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Solution

The fourth proportional to 607.37, 911.66 and 412.38 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.37 : 911.66 = 412.38 : x
  2. Step 2: Convert to fraction form
    607.37/911.66 = 412.38/x
  3. Step 3: Cross multiply
    607.37x = 911.66 × 412.38
  4. Step 4: Simplify right side
    607.37x = 375,948.29
  5. Step 5: Solve for x
    x = 375,948.29/607.37
  6. Step 6: Final answer
    x = 618.98

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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.