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Finding the Fourth Proportional to 409.14, 610.38 and 347.58

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Solution

The fourth proportional to 409.14, 610.38 and 347.58 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 610.38 = 347.58 : x
  2. Step 2: Convert to fraction form
    409.14/610.38 = 347.58/x
  3. Step 3: Cross multiply
    409.14x = 610.38 × 347.58
  4. Step 4: Simplify right side
    409.14x = 212,155.88
  5. Step 5: Solve for x
    x = 212,155.88/409.14
  6. Step 6: Final answer
    x = 518.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.