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Finding the Fourth Proportional to 667.71, 921.24 and 405.54

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Solution

The fourth proportional to 667.71, 921.24 and 405.54 is: 559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.71 : 921.24 = 405.54 : x
  2. Step 2: Convert to fraction form
    667.71/921.24 = 405.54/x
  3. Step 3: Cross multiply
    667.71x = 921.24 × 405.54
  4. Step 4: Simplify right side
    667.71x = 373,599.67
  5. Step 5: Solve for x
    x = 373,599.67/667.71
  6. Step 6: Final answer
    x = 559.52

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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.