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Finding the Fourth Proportional to 667.82, 921.64 and 405.86

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Solution

The fourth proportional to 667.82, 921.64 and 405.86 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 921.64 = 405.86 : x
  2. Step 2: Convert to fraction form
    667.82/921.64 = 405.86/x
  3. Step 3: Cross multiply
    667.82x = 921.64 × 405.86
  4. Step 4: Simplify right side
    667.82x = 374,056.81
  5. Step 5: Solve for x
    x = 374,056.81/667.82
  6. Step 6: Final answer
    x = 560.12

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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.