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Finding the Fourth Proportional to 667.23, 920.94 and 405.18

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Solution

The fourth proportional to 667.23, 920.94 and 405.18 is: 559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.23 : 920.94 = 405.18 : x
  2. Step 2: Convert to fraction form
    667.23/920.94 = 405.18/x
  3. Step 3: Cross multiply
    667.23x = 920.94 × 405.18
  4. Step 4: Simplify right side
    667.23x = 373,146.47
  5. Step 5: Solve for x
    x = 373,146.47/667.23
  6. Step 6: Final answer
    x = 559.25

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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.