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Finding the Fourth Proportional to 705.30, 1,057.74 and 359.04

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Solution

The fourth proportional to 705.30, 1,057.74 and 359.04 is: 538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 1,057.74 = 359.04 : x
  2. Step 2: Convert to fraction form
    705.30/1,057.74 = 359.04/x
  3. Step 3: Cross multiply
    705.30x = 1,057.74 × 359.04
  4. Step 4: Simplify right side
    705.30x = 379,770.97
  5. Step 5: Solve for x
    x = 379,770.97/705.30
  6. Step 6: Final answer
    x = 538.45

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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.