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Finding the Fourth Proportional to 911.10, 1,366.10 and 347.98

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Solution

The fourth proportional to 911.10, 1,366.10 and 347.98 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.10 : 1,366.10 = 347.98 : x
  2. Step 2: Convert to fraction form
    911.10/1,366.10 = 347.98/x
  3. Step 3: Cross multiply
    911.10x = 1,366.10 × 347.98
  4. Step 4: Simplify right side
    911.10x = 475,376.35
  5. Step 5: Solve for x
    x = 475,376.35/911.10
  6. Step 6: Final answer
    x = 521.76

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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.