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Finding the Fourth Proportional to 706.28, 975.14 and 441.13

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Solution

The fourth proportional to 706.28, 975.14 and 441.13 is: 609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.28 : 975.14 = 441.13 : x
  2. Step 2: Convert to fraction form
    706.28/975.14 = 441.13/x
  3. Step 3: Cross multiply
    706.28x = 975.14 × 441.13
  4. Step 4: Simplify right side
    706.28x = 430,158.86
  5. Step 5: Solve for x
    x = 430,158.86/706.28
  6. Step 6: Final answer
    x = 609.05

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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.