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Finding the Fourth Proportional to 705.02, 1,057.93 and 358.37

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Solution

The fourth proportional to 705.02, 1,057.93 and 358.37 is: 537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 1,057.93 = 358.37 : x
  2. Step 2: Convert to fraction form
    705.02/1,057.93 = 358.37/x
  3. Step 3: Cross multiply
    705.02x = 1,057.93 × 358.37
  4. Step 4: Simplify right side
    705.02x = 379,132.12
  5. Step 5: Solve for x
    x = 379,132.12/705.02
  6. Step 6: Final answer
    x = 537.76

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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.