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Finding the Fourth Proportional to 706.91, 975.23 and 441.26

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Solution

The fourth proportional to 706.91, 975.23 and 441.26 is: 608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.91 : 975.23 = 441.26 : x
  2. Step 2: Convert to fraction form
    706.91/975.23 = 441.26/x
  3. Step 3: Cross multiply
    706.91x = 975.23 × 441.26
  4. Step 4: Simplify right side
    706.91x = 430,322.91
  5. Step 5: Solve for x
    x = 430,322.91/706.91
  6. Step 6: Final answer
    x = 608.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.