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Finding the Fourth Proportional to 705.38, 1,057.35 and 294.74

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Solution

The fourth proportional to 705.38, 1,057.35 and 294.74 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 1,057.35 = 294.74 : x
  2. Step 2: Convert to fraction form
    705.38/1,057.35 = 294.74/x
  3. Step 3: Cross multiply
    705.38x = 1,057.35 × 294.74
  4. Step 4: Simplify right side
    705.38x = 311,643.12
  5. Step 5: Solve for x
    x = 311,643.12/705.38
  6. Step 6: Final answer
    x = 441.81

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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.