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Finding the Fourth Proportional to 607.54, 911.42 and 347.82

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Solution

The fourth proportional to 607.54, 911.42 and 347.82 is: 521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.54 : 911.42 = 347.82 : x
  2. Step 2: Convert to fraction form
    607.54/911.42 = 347.82/x
  3. Step 3: Cross multiply
    607.54x = 911.42 × 347.82
  4. Step 4: Simplify right side
    607.54x = 317,010.10
  5. Step 5: Solve for x
    x = 317,010.10/607.54
  6. Step 6: Final answer
    x = 521.79

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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.