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Finding the Fourth Proportional to 512.41, 705.80 and 401.68

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Solution

The fourth proportional to 512.41, 705.80 and 401.68 is: 553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.41 : 705.80 = 401.68 : x
  2. Step 2: Convert to fraction form
    512.41/705.80 = 401.68/x
  3. Step 3: Cross multiply
    512.41x = 705.80 × 401.68
  4. Step 4: Simplify right side
    512.41x = 283,505.74
  5. Step 5: Solve for x
    x = 283,505.74/512.41
  6. Step 6: Final answer
    x = 553.28

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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.