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Finding the Fourth Proportional to 511.82, 706.52 and 405.66

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Solution

The fourth proportional to 511.82, 706.52 and 405.66 is: 559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.82 : 706.52 = 405.66 : x
  2. Step 2: Convert to fraction form
    511.82/706.52 = 405.66/x
  3. Step 3: Cross multiply
    511.82x = 706.52 × 405.66
  4. Step 4: Simplify right side
    511.82x = 286,606.59
  5. Step 5: Solve for x
    x = 286,606.59/511.82
  6. Step 6: Final answer
    x = 559.98

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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.