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Finding the Fourth Proportional to 511.92, 707.00 and 401.27

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Solution

The fourth proportional to 511.92, 707.00 and 401.27 is: 554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 707.00 = 401.27 : x
  2. Step 2: Convert to fraction form
    511.92/707.00 = 401.27/x
  3. Step 3: Cross multiply
    511.92x = 707.00 × 401.27
  4. Step 4: Simplify right side
    511.92x = 283,692.35
  5. Step 5: Solve for x
    x = 283,692.35/511.92
  6. Step 6: Final answer
    x = 554.17

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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.