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Finding the Fourth Proportional to 705.21, 1,057.69 and 266.50

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Solution

The fourth proportional to 705.21, 1,057.69 and 266.50 is: 399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.21 : 1,057.69 = 266.50 : x
  2. Step 2: Convert to fraction form
    705.21/1,057.69 = 266.50/x
  3. Step 3: Cross multiply
    705.21x = 1,057.69 × 266.50
  4. Step 4: Simplify right side
    705.21x = 281,868.59
  5. Step 5: Solve for x
    x = 281,868.59/705.21
  6. Step 6: Final answer
    x = 399.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.