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Finding the Fourth Proportional to 434.34, 650.34 and 347.28

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Solution

The fourth proportional to 434.34, 650.34 and 347.28 is: 519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 650.34 = 347.28 : x
  2. Step 2: Convert to fraction form
    434.34/650.34 = 347.28/x
  3. Step 3: Cross multiply
    434.34x = 650.34 × 347.28
  4. Step 4: Simplify right side
    434.34x = 225,850.08
  5. Step 5: Solve for x
    x = 225,850.08/434.34
  6. Step 6: Final answer
    x = 519.98

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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.