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Finding the Fourth Proportional to 705.27, 1,056.74 and 242.80

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Solution

The fourth proportional to 705.27, 1,056.74 and 242.80 is: 363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 1,056.74 = 242.80 : x
  2. Step 2: Convert to fraction form
    705.27/1,056.74 = 242.80/x
  3. Step 3: Cross multiply
    705.27x = 1,056.74 × 242.80
  4. Step 4: Simplify right side
    705.27x = 256,574.44
  5. Step 5: Solve for x
    x = 256,574.44/705.27
  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.