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Finding the Fourth Proportional to 706.28, 1,057.70 and 358.70

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Solution

The fourth proportional to 706.28, 1,057.70 and 358.70 is: 537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.28 : 1,057.70 = 358.70 : x
  2. Step 2: Convert to fraction form
    706.28/1,057.70 = 358.70/x
  3. Step 3: Cross multiply
    706.28x = 1,057.70 × 358.70
  4. Step 4: Simplify right side
    706.28x = 379,392.60
  5. Step 5: Solve for x
    x = 379,392.60/706.28
  6. Step 6: Final answer
    x = 537.17

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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.