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Finding the Fourth Proportional to 511.85, 706.32 and 401.59

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Solution

The fourth proportional to 511.85, 706.32 and 401.59 is: 554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.85 : 706.32 = 401.59 : x
  2. Step 2: Convert to fraction form
    511.85/706.32 = 401.59/x
  3. Step 3: Cross multiply
    511.85x = 706.32 × 401.59
  4. Step 4: Simplify right side
    511.85x = 283,651.93
  5. Step 5: Solve for x
    x = 283,651.93/511.85
  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.