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Finding the Fourth Proportional to 705, 1,057.62 and 358.18

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Solution

The fourth proportional to 705, 1,057.62 and 358.18 is: 537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 1,057.62 = 358.18 : x
  2. Step 2: Convert to fraction form
    705/1,057.62 = 358.18/x
  3. Step 3: Cross multiply
    705x = 1,057.62 × 358.18
  4. Step 4: Simplify right side
    705x = 378,818.33
  5. Step 5: Solve for x
    x = 378,818.33/705
  6. Step 6: Final answer
    x = 537.33

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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.