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Finding the Fourth Proportional to 706.27, 1,059.10 and 336.18

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Solution

The fourth proportional to 706.27, 1,059.10 and 336.18 is: 504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.27 : 1,059.10 = 336.18 : x
  2. Step 2: Convert to fraction form
    706.27/1,059.10 = 336.18/x
  3. Step 3: Cross multiply
    706.27x = 1,059.10 × 336.18
  4. Step 4: Simplify right side
    706.27x = 356,047.40
  5. Step 5: Solve for x
    x = 356,047.40/706.27
  6. Step 6: Final answer
    x = 504.13

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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.