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Finding the Fourth Proportional to 512.14, 705.72 and 354.82

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Solution

The fourth proportional to 512.14, 705.72 and 354.82 is: 488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 705.72 = 354.82 : x
  2. Step 2: Convert to fraction form
    512.14/705.72 = 354.82/x
  3. Step 3: Cross multiply
    512.14x = 705.72 × 354.82
  4. Step 4: Simplify right side
    512.14x = 250,403.57
  5. Step 5: Solve for x
    x = 250,403.57/512.14
  6. Step 6: Final answer
    x = 488.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.