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Finding the Fourth Proportional to 705.16, 1,057.86 and 294.28

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Solution

The fourth proportional to 705.16, 1,057.86 and 294.28 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 1,057.86 = 294.28 : x
  2. Step 2: Convert to fraction form
    705.16/1,057.86 = 294.28/x
  3. Step 3: Cross multiply
    705.16x = 1,057.86 × 294.28
  4. Step 4: Simplify right side
    705.16x = 311,307.04
  5. Step 5: Solve for x
    x = 311,307.04/705.16
  6. Step 6: Final answer
    x = 441.47

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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.