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Finding the Fourth Proportional to 667.36, 920.68 and 405.24

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Solution

The fourth proportional to 667.36, 920.68 and 405.24 is: 559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.36 : 920.68 = 405.24 : x
  2. Step 2: Convert to fraction form
    667.36/920.68 = 405.24/x
  3. Step 3: Cross multiply
    667.36x = 920.68 × 405.24
  4. Step 4: Simplify right side
    667.36x = 373,096.36
  5. Step 5: Solve for x
    x = 373,096.36/667.36
  6. Step 6: Final answer
    x = 559.06

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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.