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Finding the Fourth Proportional to 705.39, 1,057.68 and 358.31

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Solution

The fourth proportional to 705.39, 1,057.68 and 358.31 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.39 : 1,057.68 = 358.31 : x
  2. Step 2: Convert to fraction form
    705.39/1,057.68 = 358.31/x
  3. Step 3: Cross multiply
    705.39x = 1,057.68 × 358.31
  4. Step 4: Simplify right side
    705.39x = 378,972.03
  5. Step 5: Solve for x
    x = 378,972.03/705.39
  6. Step 6: Final answer
    x = 537.25

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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.