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Finding the Fourth Proportional to 705.29, 1,057.95 and 243.05

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Solution

The fourth proportional to 705.29, 1,057.95 and 243.05 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.29 : 1,057.95 = 243.05 : x
  2. Step 2: Convert to fraction form
    705.29/1,057.95 = 243.05/x
  3. Step 3: Cross multiply
    705.29x = 1,057.95 × 243.05
  4. Step 4: Simplify right side
    705.29x = 257,129.46
  5. Step 5: Solve for x
    x = 257,129.46/705.29
  6. Step 6: Final answer
    x = 364.58

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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.