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Finding the Fourth Proportional to 705.36, 1,057.80 and 294.50

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Solution

The fourth proportional to 705.36, 1,057.80 and 294.50 is: 441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 1,057.80 = 294.50 : x
  2. Step 2: Convert to fraction form
    705.36/1,057.80 = 294.50/x
  3. Step 3: Cross multiply
    705.36x = 1,057.80 × 294.50
  4. Step 4: Simplify right side
    705.36x = 311,522.10
  5. Step 5: Solve for x
    x = 311,522.10/705.36
  6. Step 6: Final answer
    x = 441.65

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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.