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Finding the Fourth Proportional to 705.02, 1,057.59 and 242.80

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Solution

The fourth proportional to 705.02, 1,057.59 and 242.80 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 1,057.59 = 242.80 : x
  2. Step 2: Convert to fraction form
    705.02/1,057.59 = 242.80/x
  3. Step 3: Cross multiply
    705.02x = 1,057.59 × 242.80
  4. Step 4: Simplify right side
    705.02x = 256,786.16
  5. Step 5: Solve for x
    x = 256,786.16/705.02
  6. Step 6: Final answer
    x = 364.23

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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.