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Finding the Fourth Proportional to 705.30, 1,057.22 and 242.70

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Solution

The fourth proportional to 705.30, 1,057.22 and 242.70 is: 363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 1,057.22 = 242.70 : x
  2. Step 2: Convert to fraction form
    705.30/1,057.22 = 242.70/x
  3. Step 3: Cross multiply
    705.30x = 1,057.22 × 242.70
  4. Step 4: Simplify right side
    705.30x = 256,587.29
  5. Step 5: Solve for x
    x = 256,587.29/705.30
  6. Step 6: Final answer
    x = 363.80

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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.